338603328 has 420 divisors, whose sum is σ = 1233293952. Its totient is φ = 91445760.

The previous prime is 338603299. The next prime is 338603341. The reversal of 338603328 is 823306833.

It is a super-2 number, since 2×338603328² = 229304427465351168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338603292 and 338603301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7874475 + ... + 7874517.

Almost surely, 2^338603328 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 338603328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616646976).

338603328 is an abundant number, since it is smaller than the sum of its proper divisors (894690624).

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

338603328 is a wasteful number, since it uses less digits than its factorization.

338603328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 338603328 is about 18401.1773536369. The cubic root of 338603328 is about 696.9961953290.

The spelling of 338603328 in words is "three hundred thirty-eight million, six hundred three thousand, three hundred twenty-eight".