728814960 has 120 divisors (see below), whose sum is σ = 2526635904. Its totient is φ = 188075520.

The previous prime is 728814959. The next prime is 728814997. The reversal of 728814960 is 69418827.

728814960 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5994 + ... + 38646.

Almost surely, 2^728814960 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 728814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263317952).

728814960 is an abundant number, since it is smaller than the sum of its proper divisors (1797820944).

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

728814960 is a wasteful number, since it uses less digits than its factorization.

728814960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32703 (or 32694 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 728814960 is about 26996.5731158605. The cubic root of 728814960 is about 899.9238454081.

It can be divided in two parts, 72881 and 4960, that added together give a square (77841 = 279²).

The spelling of 728814960 in words is "seven hundred twenty-eight million, eight hundred fourteen thousand, nine hundred sixty".