338028 has 24 divisors (see below), whose sum is σ = 835632. Its totient is φ = 105984.

The previous prime is 338027. The next prime is 338033. The reversal of 338028 is 820833.

338028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338028² = 228525857568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337989 and 338007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338028.

It is not an unprimeable number, because it can be changed into a prime (338027) 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, 625 + ... + 1032.

It is an arithmetic number, because the mean of its divisors is an integer number (34818).

2³³⁸⁰²⁸ is an apocalyptic number.

It is an amenable number.

338028 is an abundant number, since it is smaller than the sum of its proper divisors (497604).

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

338028 is a wasteful number, since it uses less digits than its factorization.

338028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 338028 is about 581.4017543833. The cubic root of 338028 is about 69.6601211262.

The spelling of 338028 in words is "three hundred thirty-eight thousand, twenty-eight".