There are some good Android apps for free e-Book readers. I am curious if there are e-reader programs that can download e-Books from Internet? Also, I'd like to know if Amazon Kindle Paperwhite enables downloads alike.
For an Android device you can try Aldiko Book Reader or Moon+ Reader Pro. They both have options to download e-Books from the Internet. Yes, using Amazon Kindle Paperwhite you can download e-books, but you have to be connected to a WiFi network.