338628 has 12 divisors (see below), whose sum is σ = 790160. Its totient is φ = 112872.

The previous prime is 338609. The next prime is 338659. The reversal of 338628 is 826833.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×338628² = 229337844768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338595 and 338604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338628.

It is an unprimeable number.

338628 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, 14098 + ... + 14121.

2³³⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

338628 is an abundant number, since it is smaller than the sum of its proper divisors (451532).

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

338628 is a wasteful number, since it uses less digits than its factorization.

338628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28226 (or 28224 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 338628 is about 581.9175199287. The cubic root of 338628 is about 69.7013123566.

The spelling of 338628 in words is "three hundred thirty-eight thousand, six hundred twenty-eight".