828724010401 has 8 divisors (see below), whose sum is σ = 996961215680. Its totient is φ = 672948820368.

The previous prime is 828724010393. The next prime is 828724010447. The reversal of 828724010401 is 104010427828.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828724010401 - 2³ = 828724010393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828725010401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3115503666 + ... + 3115503931.

It is an arithmetic number, because the mean of its divisors is an integer number (124620151960).

Almost surely, 2^828724010401 is an apocalyptic number.

It is an amenable number.

828724010401 is a deficient number, since it is larger than the sum of its proper divisors (168237205279).

828724010401 is a wasteful number, since it uses less digits than its factorization.

828724010401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231007623.

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 828724010401 in words is "eight hundred twenty-eight billion, seven hundred twenty-four million, ten thousand, four hundred one".