728371120 has 80 divisors (see below), whose sum is σ = 1806446880. Its totient is φ = 272166912.

The previous prime is 728371097. The next prime is 728371123. The reversal of 728371120 is 21173827.

728371120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (728371123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187114 + ... + 190966.

It is an arithmetic number, because the mean of its divisors is an integer number (22580586).

Almost surely, 2^728371120 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 728371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903223440).

728371120 is an abundant number, since it is smaller than the sum of its proper divisors (1078075760).

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

728371120 is a wasteful number, since it uses less digits than its factorization.

728371120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 728371120 is about 26988.3515613681. The cubic root of 728371120 is about 899.7411271920.

The spelling of 728371120 in words is "seven hundred twenty-eight million, three hundred seventy-one thousand, one hundred twenty".