728924160 has 128 divisors (see below), whose sum is σ = 2334094560. Its totient is φ = 194248704.

The previous prime is 728924123. The next prime is 728924167. The reversal of 728924160 is 61429827.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (728924167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490779 + ... + 492261.

Almost surely, 2^728924160 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 728924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167047280).

728924160 is an abundant number, since it is smaller than the sum of its proper divisors (1605170400).

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

728924160 is an equidigital number, since it uses as much as digits as its factorization.

728924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 728924160 is about 26998.5955190265. The cubic root of 728924160 is about 899.9687890411.

The spelling of 728924160 in words is "seven hundred twenty-eight million, nine hundred twenty-four thousand, one hundred sixty".