28763918056800 has 576 divisors, whose sum is σ = 105523443567360. Its totient is φ = 7560649175040.

The previous prime is 28763918056747. The next prime is 28763918056891. The reversal of 28763918056800 is 865081936782.

28763918056800 is a `hidden beast` number, since 2 + 8 + 7 + 63 + 9 + 1 + 8 + 0 + 568 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794192292 + ... + 794228508.

It is an arithmetic number, because the mean of its divisors is an integer number (183200422860).

Almost surely, 2^{28763918056800} is an apocalyptic number.

28763918056800 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 28763918056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52761721783680).

28763918056800 is an abundant number, since it is smaller than the sum of its proper divisors (76759525510560).

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

28763918056800 is a wasteful number, since it uses less digits than its factorization.

28763918056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36772 (or 36753 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 28763918056800 in words is "twenty-eight trillion, seven hundred sixty-three billion, nine hundred eighteen million, fifty-six thousand, eight hundred".