28729914415200 has 216 divisors, whose sum is σ = 107268205911048. Its totient is φ = 7210645155840.

The previous prime is 28729914415187. The next prime is 28729914415247. The reversal of 28729914415200 is 251441992782.

28729914415200 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 9 + 9 + 14 + 415 + 200 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 117238362 + ... + 117483161.

It is an arithmetic number, because the mean of its divisors is an integer number (496612064403).

Almost surely, 2^{28729914415200} is an apocalyptic number.

28729914415200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28729914415200 is an abundant number, since it is smaller than the sum of its proper divisors (78538291495848).

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

28729914415200 is a wasteful number, since it uses less digits than its factorization.

28729914415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234721566 (or 234721550 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28729914415200 in words is "twenty-eight trillion, seven hundred twenty-nine billion, nine hundred fourteen million, four hundred fifteen thousand, two hundred".