728008 has 32 divisors (see below), whose sum is σ = 1487160. Its totient is φ = 332800.

The previous prime is 728003. The next prime is 728017. The reversal of 728008 is 800827.

728008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 708964 + 19044 = 842^2 + 138^2 .

It is not an unprimeable number, because it can be changed into a prime (728003) by changing a digit.

728008 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, 7158 + ... + 7258.

2⁷²⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

728008 is an abundant number, since it is smaller than the sum of its proper divisors (759152).

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

728008 is a wasteful number, since it uses less digits than its factorization.

728008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 728008 is about 853.2338483675. The cubic root of 728008 is about 89.9591584238.

The spelling of 728008 in words is "seven hundred twenty-eight thousand, eight".