28597025562624 has 448 divisors, whose sum is σ = 90819189334080. Its totient is φ = 8971520311296.

The previous prime is 28597025562617. The next prime is 28597025562647. The reversal of 28597025562624 is 42626552079582.

28597025562624 is a `hidden beast` number, since 2 + 8 + 5 + 9 + 7 + 0 + 2 + 5 + 562 + 62 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304523422 + ... + 304617314.

Almost surely, 2^{28597025562624} is an apocalyptic number.

28597025562624 is a gapful number since it is divisible by the number (24) 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 28597025562624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45409594667040).

28597025562624 is an abundant number, since it is smaller than the sum of its proper divisors (62222163771456).

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

28597025562624 is an frugal number, since it uses more digits than its factorization.

28597025562624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93957 (or 93915 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 28597025562624 in words is "twenty-eight trillion, five hundred ninety-seven billion, twenty-five million, five hundred sixty-two thousand, six hundred twenty-four".