28631518156800 has 3456 divisors, whose sum is σ = 123439896216000. Its totient is φ = 6558654136320.

The previous prime is 28631518156763. The next prime is 28631518156819. The reversal of 28631518156800 is 865181513682.

28631518156800 is a `hidden beast` number, since 2 + 8 + 6 + 31 + 518 + 15 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 321702451156 + ... + 321702451244.

Almost surely, 2^{28631518156800} is an apocalyptic number.

28631518156800 is a gapful number since it is divisible by the number (20) 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 28631518156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61719948108000).

28631518156800 is an abundant number, since it is smaller than the sum of its proper divisors (94808378059200).

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

28631518156800 is an equidigital number, since it uses as much as digits as its factorization.

28631518156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 28631518156800 in words is "twenty-eight trillion, six hundred thirty-one billion, five hundred eighteen million, one hundred fifty-six thousand, eight hundred".