724940928 has 224 divisors, whose sum is σ = 2297726460. Its totient is φ = 226934784.

The previous prime is 724940899. The next prime is 724940939. The reversal of 724940928 is 829049427.

724940928 is a `hidden beast` number, since 72 + 494 + 0 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 638673984 + 86266944 = 25272^2 + 9288^2 .

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 27 ways as a sum of consecutive naturals, for example, 1586076 + ... + 1586532.

Almost surely, 2^724940928 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 724940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148863230).

724940928 is an abundant number, since it is smaller than the sum of its proper divisors (1572785532).

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

724940928 is an equidigital number, since it uses as much as digits as its factorization.

724940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 724940928 is about 26924.7270738257. The cubic root of 724940928 is about 898.3264901117.

The spelling of 724940928 in words is "seven hundred twenty-four million, nine hundred forty thousand, nine hundred twenty-eight".