92728688025600 has 4032 divisors, whose sum is σ = 398798131536000. Its totient is φ = 21336647270400.

The previous prime is 92728688025599. The next prime is 92728688025607. The reversal of 92728688025600 is 652088682729.

92728688025600 is a `hidden beast` number, since 9 + 2 + 7 + 2 + 8 + 68 + 8 + 0 + 2 + 560 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (92728688025607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1571672678371 + ... + 1571672678429.

It is an arithmetic number, because the mean of its divisors is an integer number (98908266750).

Almost surely, 2^{92728688025600} is an apocalyptic number.

92728688025600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92728688025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199399065768000).

92728688025600 is an abundant number, since it is smaller than the sum of its proper divisors (306069443510400).

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

92728688025600 is an equidigital number, since it uses as much as digits as its factorization.

92728688025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 92728688025600 in words is "ninety-two trillion, seven hundred twenty-eight billion, six hundred eighty-eight million, twenty-five thousand, six hundred".