28025150864256 has 512 divisors, whose sum is σ = 107158719360000. Its totient is φ = 7002234003456.

The previous prime is 28025150864213. The next prime is 28025150864297. The reversal of 28025150864256 is 65246805152082.

28025150864256 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 51 + 508 + 64 + 25 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3630390 + ... + 8320458.

It is an arithmetic number, because the mean of its divisors is an integer number (209294373750).

Almost surely, 2^{28025150864256} is an apocalyptic number.

28025150864256 is a gapful number since it is divisible by the number (26) 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 28025150864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53579359680000).

28025150864256 is an abundant number, since it is smaller than the sum of its proper divisors (79133568495744).

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

28025150864256 is a wasteful number, since it uses less digits than its factorization.

28025150864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690131 (or 4690113 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 28025150864256 in words is "twenty-eight trillion, twenty-five billion, one hundred fifty million, eight hundred sixty-four thousand, two hundred fifty-six".