338928 has 40 divisors (see below), whose sum is σ = 916608. Its totient is φ = 107712.

The previous prime is 338927. The next prime is 338959. The reversal of 338928 is 829833.

338928 = 87² + 88² + ... + 118².

It is a super-2 number, since 2×338928² = 229744378368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338927) 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, 951 + ... + 1257.

2³³⁸⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304).

338928 is an abundant number, since it is smaller than the sum of its proper divisors (577680).

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

338928 is a wasteful number, since it uses less digits than its factorization.

338928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 338928 is about 582.1752313522. The cubic root of 338928 is about 69.7218897274.

The spelling of 338928 in words is "three hundred thirty-eight thousand, nine hundred twenty-eight".