28790818894656 has 2016 divisors, whose sum is σ = 111413533271040. Its totient is φ = 7298939289600.

The previous prime is 28790818894633. The next prime is 28790818894679. The reversal of 28790818894656 is 65649881809782.

28790818894656 is a `hidden beast` number, since 2 + 8 + 79 + 0 + 8 + 1 + 8 + 89 + 465 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28790818894633) and next prime (28790818894679).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×28790818894656² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74012387710 + ... + 74012388098.

It is an arithmetic number, because the mean of its divisors is an integer number (55264649440).

Almost surely, 2^{28790818894656} is an apocalyptic number.

28790818894656 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 28790818894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55706766635520).

28790818894656 is an abundant number, since it is smaller than the sum of its proper divisors (82622714376384).

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

28790818894656 is a wasteful number, since it uses less digits than its factorization.

28790818894656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 81.

The spelling of 28790818894656 in words is "twenty-eight trillion, seven hundred ninety billion, eight hundred eighteen million, eight hundred ninety-four thousand, six hundred fifty-six".