Google Play Store does not provide a built-in feature to display the exact date and time when you initially downloaded an app. However, there are a few methods you can try to get an approximate idea of when you downloaded an app:

Email Receipts (if applicable): If you receive email receipts for app purchases, you might find the download date and time in those receipts.

Google Play Account Activity: You can check your Google Play account activity to see a list of apps you've downloaded or purchased. Here's how to do it:

Open the Google Play Store app on your device.

Tap the three horizontal lines (hamburger menu) in the top-left corner to open the menu.

Select "My apps & games."

Go to the "Library" tab. This will show you a list of all the apps you've ever downloaded using your Google account.

Unfortunately, this method only shows the list of apps and does not provide specific download dates.

Check Usage History: If you use digital well-being or usage tracking apps, they might have recorded when you first used an app. You can check these apps to see if they provide such information.

Device Backup: If you have backed up your device using services like Google Drive or a cloud backup service, you might be able to find information about when the app was installed in the backup data.

Google Account Activity: Google might have recorded the installation date of apps in your account activity. You can check your Google Account's "My Activity" page (https://myactivity.google.com/) to see if you can find information related to app installations.

Please note that these methods might provide only approximate information, and in some cases, you might not be able to retrieve the exact download date. If having the exact download date is crucial, consider enabling a system to record such information manually in the future, like keeping a record in a note-taking app or a dedicated spreadsheet.