28329330512400 has 60 divisors (see below), whose sum is σ = 90748288745232. Its totient is φ = 7554488136320.

The previous prime is 28329330512359. The next prime is 28329330512411. The reversal of 28329330512400 is 421503392382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 11803886514 + ... + 11803888913.

Almost surely, 2^{28329330512400} is an apocalyptic number.

28329330512400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28329330512400 is an abundant number, since it is smaller than the sum of its proper divisors (62418958232832).

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

28329330512400 is a wasteful number, since it uses less digits than its factorization.

28329330512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23607775448 (or 23607775437 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 28329330512400 in words is "twenty-eight trillion, three hundred twenty-nine billion, three hundred thirty million, five hundred twelve thousand, four hundred".