338328 has 48 divisors (see below), whose sum is σ = 948480. Its totient is φ = 108864.

The previous prime is 338323. The next prime is 338339. The reversal of 338328 is 823833.

338328 is a `hidden beast` number, since 338 + 328 = 666.

It is a super-2 number, since 2×338328² = 228931671168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2601 + ... + 2727.

It is an arithmetic number, because the mean of its divisors is an integer number (19760).

2³³⁸³²⁸ 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 338328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474240).

338328 is an abundant number, since it is smaller than the sum of its proper divisors (610152).

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

338328 is a wasteful number, since it uses less digits than its factorization.

338328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 338328 is about 581.6596943231. The cubic root of 338328 is about 69.6807228289.

It can be divided in two parts, 338 and 328, that added together give a palindrome (666).

The spelling of 338328 in words is "three hundred thirty-eight thousand, three hundred twenty-eight".