728788008 has 64 divisors (see below), whose sum is σ = 1964692800. Its totient is φ = 223948800.

The previous prime is 728787989. The next prime is 728788013. The reversal of 728788008 is 800887827.

It is a super-2 number, since 2×728788008² = 1062263921209216128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454408 + ... + 456008.

It is an arithmetic number, because the mean of its divisors is an integer number (30698325).

Almost surely, 2^728788008 is an apocalyptic number.

728788008 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

728788008 is an abundant number, since it is smaller than the sum of its proper divisors (1235904792).

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

728788008 is a wasteful number, since it uses less digits than its factorization.

728788008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The square root of 728788008 is about 26996.0739367783. The cubic root of 728788008 is about 899.9127520361.

The spelling of 728788008 in words is "seven hundred twenty-eight million, seven hundred eighty-eight thousand, eight".