728657920 has 104 divisors (see below), whose sum is σ = 1788128064. Its totient is φ = 284884992.

The previous prime is 728657903. The next prime is 728657971. The reversal of 728657920 is 29756827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962182 + ... + 962938.

Almost surely, 2^728657920 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 728657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894064032).

728657920 is an abundant number, since it is smaller than the sum of its proper divisors (1059470144).

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

728657920 is an equidigital number, since it uses as much as digits as its factorization.

728657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 728657920 is about 26993.6644418649. The cubic root of 728657920 is about 899.8592043126.

The spelling of 728657920 in words is "seven hundred twenty-eight million, six hundred fifty-seven thousand, nine hundred twenty".