Mobile Push Notifications for OneDrive for Business and SharePoint are now features of Microsoft's Office 365 solution. The new functionality is being rolled our to all customers and Microsoft expect to have this rollout completed by December 31, 2016.
This new feature will allow Office 365 users to receive mobile push notifications when other people share files and folders with them from OneDrive for Business and SharePoint Online.
Because there will be some data, including the user and file name, passed through Google Cloud Messaging and Apple Push Notification Service, Microsoft are providing an administration option to disable mobile push notifications about content changes in your Office 365 account. This option can be found in the SharePoint Admin Center under “Site Settings” when logged in as an Office 365 administrator.