28864733625 has 384 divisors, whose sum is σ = 67159572480. Its totient is φ = 11604902400.

The previous prime is 28864733617. The next prime is 28864733663. The reversal of 28864733625 is 52633746882.

28864733625 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 4 + 7 + 3 + 3 + 625 = 666.

It is not a de Polignac number, because 28864733625 - 2³ = 28864733617 is a prime.

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 383 ways as a sum of consecutive naturals, for example, 347767834 + ... + 347767916.

It is an arithmetic number, because the mean of its divisors is an integer number (174894720).

Almost surely, 2^28864733625 is an apocalyptic number.

28864733625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28864733625 is an abundant number, since it is smaller than the sum of its proper divisors (38294838855).

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

28864733625 is a wasteful number, since it uses less digits than its factorization.

28864733625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 28864733625 in words is "twenty-eight billion, eight hundred sixty-four million, seven hundred thirty-three thousand, six hundred twenty-five".