728696304 has 160 divisors (see below), whose sum is σ = 2494602240. Its totient is φ = 199127808.

The previous prime is 728696299. The next prime is 728696377. The reversal of 728696304 is 403696827.

728696304 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 9 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 728696304.

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, 64314 + ... + 74790.

It is an arithmetic number, because the mean of its divisors is an integer number (15591264).

Almost surely, 2^728696304 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 728696304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247301120).

728696304 is an abundant number, since it is smaller than the sum of its proper divisors (1765905936).

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

728696304 is a wasteful number, since it uses less digits than its factorization.

728696304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 728696304 is about 26994.3754141488. The cubic root of 728696304 is about 899.8750048633.

It can be divided in two parts, 728696 and 304, that added together give a cube (729000 = 90³).

The spelling of 728696304 in words is "seven hundred twenty-eight million, six hundred ninety-six thousand, three hundred four".