723734928 has 480 divisors, whose sum is σ = 2674114560. Its totient is φ = 177914880.

The previous prime is 723734899. The next prime is 723734939. The reversal of 723734928 is 829437327.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (508032) is a multiple of the sum of its prime factors (147).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13655350 + ... + 13655402.

It is an arithmetic number, because the mean of its divisors is an integer number (5571072).

Almost surely, 2^723734928 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 723734928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337057280).

723734928 is an abundant number, since it is smaller than the sum of its proper divisors (1950379632).

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

723734928 is a wasteful number, since it uses less digits than its factorization.

723734928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 723734928 is about 26902.3219815688. The cubic root of 723734928 is about 897.8280664809.

The spelling of 723734928 in words is "seven hundred twenty-three million, seven hundred thirty-four thousand, nine hundred twenty-eight".