You can store Digibyte using Coinomi on your Android phone but I personally don't use wallets on phones unless keyed to my Trezor. Trezor will support Digibyte one day but not in the next month or two most likely. Ledger Nano S and Blue already support Digibyte.
I haven't asked Trezor support about Digibyte yet, but I did ask KeepKey and they sent this to me:
Thank you for your message! At this point, DigiByte is on our radar. I do not have an ETA for DigiByte support at this time. We realize the importance of new additions such as these, and we hope to have support in the future. We are currently working toward support for ERC20 tokens and many more will follow. Please stay tuned to our blog and Twitter for exciting new announcements!