728157600 has 360 divisors, whose sum is σ = 2815905708. Its totient is φ = 182476800.

The previous prime is 728157593. The next prime is 728157613. The reversal of 728157600 is 6751827.

728157600 is a `hidden beast` number, since 7 + 2 + 81 + 576 + 0 + 0 = 666.

728157600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 480661776 + 247495824 = 21924^2 + 15732^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1101270 + ... + 1101930.

Almost surely, 2^728157600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407952854).

728157600 is an abundant number, since it is smaller than the sum of its proper divisors (2087748108).

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

728157600 is a wasteful number, since it uses less digits than its factorization.

728157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 728157600 is about 26984.3954907276. The cubic root of 728157600 is about 899.6531997167.

The spelling of 728157600 in words is "seven hundred twenty-eight million, one hundred fifty-seven thousand, six hundred".