Yes, push notifications are more secure than SMS.
An SMS can be sent to users without their consent. There is a history of SMS data breaches that can leave users in a potentially malicious trap from hackers. In addition, it is very easy for hackers to send the message to your mobile devices.
On the other hand, push notifications are much stronger with the user’s consent as a priority. Other benefits include multi-factor authentication for mobile apps, and Google takes it very seriously, blocking websites that receive spam notifications with regular browser updates and more.
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