28995640257600 has 567 divisors, whose sum is σ = 107788169135829. Its totient is φ = 7392198528000.

The previous prime is 28995640257569. The next prime is 28995640257629. The reversal of 28995640257600 is 675204659982.

The square root of 28995640257600 is 5384760.

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

28995640257600 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 56 + 4 + 0 + 2 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10438430492736 + 18557209764864 = 3230856^2 + 4307808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14861936625 + ... + 14861938575.

Almost surely, 2^{28995640257600} is an apocalyptic number.

28995640257600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28995640257600 is the 5384760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28995640257600

28995640257600 is an abundant number, since it is smaller than the sum of its proper divisors (78792528878229).

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

28995640257600 is an equidigital number, since it uses as much as digits as its factorization.

28995640257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 28995640257600 in words is "twenty-eight trillion, nine hundred ninety-five billion, six hundred forty million, two hundred fifty-seven thousand, six hundred".