338728 has 16 divisors (see below), whose sum is σ = 684180. Its totient is φ = 156288.

The previous prime is 338717. The next prime is 338731. The reversal of 338728 is 827833.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 4 = 582^2 + 2^2 .

It is a super-2 number, since 2×338728² = 229473315968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338728.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338728.

It is an unprimeable number.

338728 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 3 ways as a sum of consecutive naturals, for example, 1525 + ... + 1732.

2³³⁸⁷²⁸ is an apocalyptic number.

It is an amenable number.

338728 is an abundant number, since it is smaller than the sum of its proper divisors (345452).

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

338728 is a wasteful number, since it uses less digits than its factorization.

338728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3272 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 338728 is about 582.0034364160. The cubic root of 338728 is about 69.7081728301.

The spelling of 338728 in words is "three hundred thirty-eight thousand, seven hundred twenty-eight".