338828 has 12 divisors (see below), whose sum is σ = 677712. Its totient is φ = 145200.

The previous prime is 338803. The next prime is 338839. The reversal of 338828 is 828833.

338828 = 217² + 218² + ... + 223².

338828 is an admirable number.

It is a super-2 number, since 2×338828² = 229608827168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338794 and 338803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6023 + ... + 6078.

It is an arithmetic number, because the mean of its divisors is an integer number (56476).

2³³⁸⁸²⁸ is an apocalyptic number.

It is an amenable number.

338828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

338828 is a wasteful number, since it uses less digits than its factorization.

338828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112 (or 12110 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 338828 is about 582.0893402219. The cubic root of 338828 is about 69.7150319535.

It can be divided in two parts, 3388 and 28, that multiplied together give a square (94864 = 308²).

The spelling of 338828 in words is "three hundred thirty-eight thousand, eight hundred twenty-eight".