728964595008 has 224 divisors, whose sum is σ = 2429336873600. Its totient is φ = 212491579392.

The previous prime is 728964594991. The next prime is 728964595063. The reversal of 728964595008 is 800595469827.

728964595008 is a `hidden beast` number, since 7 + 2 + 89 + 6 + 45 + 9 + 500 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427141 + ... + 1280772.

It is an arithmetic number, because the mean of its divisors is an integer number (10845253900).

Almost surely, 2^728964595008 is an apocalyptic number.

728964595008 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

728964595008 is an abundant number, since it is smaller than the sum of its proper divisors (1700372278592).

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

728964595008 is a wasteful number, since it uses less digits than its factorization.

728964595008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707966 (or 1707950 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 728964595008 in words is "seven hundred twenty-eight billion, nine hundred sixty-four million, five hundred ninety-five thousand, eight".