28537318656000 has 3840 divisors, whose sum is σ = 135261477711360. Its totient is φ = 5812715520000.

The previous prime is 28537318655977. The next prime is 28537318656017. The reversal of 28537318656000 is 65681373582.

28537318656000 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 73 + 1 + 8 + 6 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 97396991854 + ... + 97396992146.

It is an arithmetic number, because the mean of its divisors is an integer number (35224343154).

Almost surely, 2^{28537318656000} is an apocalyptic number.

28537318656000 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 28537318656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67630738855680).

28537318656000 is an abundant number, since it is smaller than the sum of its proper divisors (106724159055360).

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

28537318656000 is a wasteful number, since it uses less digits than its factorization.

28537318656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 28537318656000 in words is "twenty-eight trillion, five hundred thirty-seven billion, three hundred eighteen million, six hundred fifty-six thousand".