28389885742656 has 315 divisors, whose sum is σ = 86209250471553. Its totient is φ = 9237847772160.

The previous prime is 28389885742651. The next prime is 28389885742703. The reversal of 28389885742656 is 65624758898382.

The square root of 28389885742656 is 5328216.

It is a perfect power (a square), and thus also a powerful number.

28389885742656 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 98 + 8 + 57 + 426 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20967094472256 + 7422791270400 = 4578984^2 + 2724480^2 .

It is a super-2 number, since 2×28389885742656² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (28389885742651) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16496155876 + ... + 16496157596.

Almost surely, 2^{28389885742656} is an apocalyptic number.

28389885742656 is the 5328216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28389885742656

28389885742656 is an abundant number, since it is smaller than the sum of its proper divisors (57819364728897).

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

28389885742656 is an frugal number, since it uses more digits than its factorization.

28389885742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 1769 counting only the distinct ones).

The product of its digits is 11147673600, while the sum is 81.

28389885742656 divided by its sum of digits (81) gives a square (350492416576 = 592024²).

The spelling of 28389885742656 in words is "twenty-eight trillion, three hundred eighty-nine billion, eight hundred eighty-five million, seven hundred forty-two thousand, six hundred fifty-six".