724487328 has 240 divisors, whose sum is σ = 2297877120. Its totient is φ = 223202304.

The previous prime is 724487303. The next prime is 724487341. The reversal of 724487328 is 823784427.

724487328 is a `hidden beast` number, since 7 + 244 + 87 + 328 = 666.

Its product of digits (602112) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2314500 + ... + 2314812.

It is an arithmetic number, because the mean of its divisors is an integer number (9574488).

Almost surely, 2^724487328 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 724487328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148938560).

724487328 is an abundant number, since it is smaller than the sum of its proper divisors (1573389792).

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

724487328 is a wasteful number, since it uses less digits than its factorization.

724487328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 724487328 is about 26916.3022720432. The cubic root of 724487328 is about 898.1390882157.

The spelling of 724487328 in words is "seven hundred twenty-four million, four hundred eighty-seven thousand, three hundred twenty-eight".