edX already has iOS and Android apps in the marketplace. And the best thing is that the source code to both is available on Github, so they can be modified for other use cases and redeployed to the app stores under a different name (still with accreditation though)
edX on Google Play (Android)
https://play.google.com/store/apps/details?id=org.edx.mobile&hl=en
code: https://github.com/edx/edx-app-android
edX on iOS