728880 has 40 divisors (see below), whose sum is σ = 2260272. Its totient is φ = 194304.

The previous prime is 728873. The next prime is 728881. The reversal of 728880 is 88827.

728880 = T₉₃ + T₉₄ + ... + T₁₇₂.

728880 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 (40).

It is not an unprimeable number, because it can be changed into a prime (728881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1279 + ... + 1758.

2⁷²⁸⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

728880 is an abundant number, since it is smaller than the sum of its proper divisors (1531392).

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

728880 is a wasteful number, since it uses less digits than its factorization.

728880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 728880 is about 853.7446925164. The cubic root of 728880 is about 89.9950614574.

The spelling of 728880 in words is "seven hundred twenty-eight thousand, eight hundred eighty".