728532960 has 384 divisors, whose sum is σ = 2647572480. Its totient is φ = 167215104.

The previous prime is 728532949. The next prime is 728532971. The reversal of 728532960 is 69235827.

728532960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728532949) and next prime (728532971).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5736417 + ... + 5736543.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^728532960 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 728532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323786240).

728532960 is an abundant number, since it is smaller than the sum of its proper divisors (1919039520).

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

728532960 is a wasteful number, since it uses less digits than its factorization.

728532960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 728532960 is about 26991.3497254213. The cubic root of 728532960 is about 899.8077614102.

The spelling of 728532960 in words is "seven hundred twenty-eight million, five hundred thirty-two thousand, nine hundred sixty".