28565085556800 has 2016 divisors, whose sum is σ = 124708558141440. Its totient is φ = 6125381222400.

The previous prime is 28565085556771. The next prime is 28565085556807. The reversal of 28565085556800 is 865558056582.

28565085556800 is a `hidden beast` number, since 2 + 8 + 5 + 65 + 0 + 8 + 5 + 5 + 568 + 0 + 0 = 666.

It is a super-2 number, since 2×28565085556800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28565085556807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2269044906 + ... + 2269057494.

It is an arithmetic number, because the mean of its divisors is an integer number (61859403840).

Almost surely, 2^{28565085556800} is an apocalyptic number.

28565085556800 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 28565085556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62354279070720).

28565085556800 is an abundant number, since it is smaller than the sum of its proper divisors (96143472584640).

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

28565085556800 is a wasteful number, since it uses less digits than its factorization.

28565085556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12701 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 115200000, while the sum is 63.

The spelling of 28565085556800 in words is "twenty-eight trillion, five hundred sixty-five billion, eighty-five million, five hundred fifty-six thousand, eight hundred".