728951136 has 192 divisors, whose sum is σ = 2067690240. Its totient is φ = 224501760.

The previous prime is 728951123. The next prime is 728951147. The reversal of 728951136 is 631159827.

728951136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9985596 + ... + 9985668.

It is an arithmetic number, because the mean of its divisors is an integer number (10769220).

Almost surely, 2^728951136 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 728951136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033845120).

728951136 is an abundant number, since it is smaller than the sum of its proper divisors (1338739104).

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

728951136 is a wasteful number, since it uses less digits than its factorization.

728951136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 728951136 is about 26999.0950959472. The cubic root of 728951136 is about 899.9798909087.

The spelling of 728951136 in words is "seven hundred twenty-eight million, nine hundred fifty-one thousand, one hundred thirty-six".