728960 has 64 divisors (see below), whose sum is σ = 1872720. Its totient is φ = 270336.

The previous prime is 728953. The next prime is 728969. The reversal of 728960 is 69827.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728969) by changing a digit.

728960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10847 + ... + 10913.

2⁷²⁸⁹⁶⁰ 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 728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936360).

728960 is an abundant number, since it is smaller than the sum of its proper divisors (1143760).

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

728960 is a wasteful number, since it uses less digits than its factorization.

728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 728960 is about 853.7915436452. The cubic root of 728960 is about 89.9983538794.

The spelling of 728960 in words is "seven hundred twenty-eight thousand, nine hundred sixty".