28625662572000 has 1536 divisors, whose sum is σ = 107771098046976. Its totient is φ = 6593052672000.

The previous prime is 28625662571999. The next prime is 28625662572083. The reversal of 28625662572000 is 27526652682.

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 255 ways as a sum of consecutive naturals, for example, 17275595172 + ... + 17275596828.

It is an arithmetic number, because the mean of its divisors is an integer number (70163475291).

Almost surely, 2^{28625662572000} is an apocalyptic number.

28625662572000 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 28625662572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53885549023488).

28625662572000 is an abundant number, since it is smaller than the sum of its proper divisors (79145435474976).

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

28625662572000 is a wasteful number, since it uses less digits than its factorization.

28625662572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 28625662572000 in words is "twenty-eight trillion, six hundred twenty-five billion, six hundred sixty-two million, five hundred seventy-two thousand".