28829664057600 has 648 divisors, whose sum is σ = 118724954449920. Its totient is φ = 6537738977280.

The previous prime is 28829664057583. The next prime is 28829664057637. The reversal of 28829664057600 is 675046692882.

28829664057600 is a `hidden beast` number, since 2 + 8 + 82 + 96 + 6 + 405 + 7 + 60 + 0 = 666.

It is a super-2 number, since 2×28829664057600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 50924896 + ... + 51487904.

Almost surely, 2^{28829664057600} is an apocalyptic number.

28829664057600 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 28829664057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59362477224960).

28829664057600 is an abundant number, since it is smaller than the sum of its proper divisors (89895290392320).

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

28829664057600 is a wasteful number, since it uses less digits than its factorization.

28829664057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563175 (or 563153 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 28829664057600 in words is "twenty-eight trillion, eight hundred twenty-nine billion, six hundred sixty-four million, fifty-seven thousand, six hundred".