28957360674816 has 2016 divisors, whose sum is σ = 108008701819200. Its totient is φ = 7712796672000.

The previous prime is 28957360674787. The next prime is 28957360674881. The reversal of 28957360674816 is 61847606375982.

28957360674816 is a `hidden beast` number, since 2 + 8 + 9 + 5 + 7 + 3 + 606 + 7 + 4 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 115367970691 + ... + 115367970941.

It is an arithmetic number, because the mean of its divisors is an integer number (53575744950).

It is a 1-persistent number, because it is pandigital, but 2⋅28957360674816 = 57914721349632 is not.

Almost surely, 2^{28957360674816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28957360674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54004350909600).

28957360674816 is an abundant number, since it is smaller than the sum of its proper divisors (79051341144384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28957360674816 is an equidigital number, since it uses as much as digits as its factorization.

28957360674816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 28957360674816 in words is "twenty-eight trillion, nine hundred fifty-seven billion, three hundred sixty million, six hundred seventy-four thousand, eight hundred sixteen".