338039628 has 48 divisors (see below), whose sum is σ = 838270944. Its totient is φ = 105656320.

The previous prime is 338039561. The next prime is 338039677. The reversal of 338039628 is 826930833.

It is a super-2 number, since 2×338039628² = 228541580196756768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338039628.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54376 + ... + 60272.

It is an arithmetic number, because the mean of its divisors is an integer number (17463978).

Almost surely, 2^338039628 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 338039628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419135472).

338039628 is an abundant number, since it is smaller than the sum of its proper divisors (500231316).

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

338039628 is a wasteful number, since it uses less digits than its factorization.

338039628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 338039628 is about 18385.8540187830. The cubic root of 338039628 is about 696.6091987526.

The spelling of 338039628 in words is "three hundred thirty-eight million, thirty-nine thousand, six hundred twenty-eight".