Batman: Arkham Asylum – The Mobile Game Developer: NetherRealm Studios (formerly Warner Bros. Games) Publisher: Warner Bros. International Enterprises Release Year: 2011 (iOS) / 2012 (Android) Status: Delisted from Google Play Store (no longer officially available)
At least 2.5 GB free space for the OBB + additional space for save files and cache. Batman Arkham Asylum Apk - Obb Download - Google
So the final path looks like: