728925120 has 672 divisors, whose sum is σ = 3309396480. Its totient is φ = 142663680.

The previous prime is 728925097. The next prime is 728925137. The reversal of 728925120 is 21529827.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4213354 + ... + 4213526.

Almost surely, 2^728925120 is an apocalyptic number.

728925120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654698240).

728925120 is an abundant number, since it is smaller than the sum of its proper divisors (2580471360).

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

728925120 is a wasteful number, since it uses less digits than its factorization.

728925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 728925120 is about 26998.6132977233. The cubic root of 728925120 is about 899.9691841301.

The spelling of 728925120 in words is "seven hundred twenty-eight million, nine hundred twenty-five thousand, one hundred twenty".