338830128 has 400 divisors, whose sum is σ = 1285542720. Its totient is φ = 84105216.

The previous prime is 338830117. The next prime is 338830133. The reversal of 338830128 is 821038833.

It is a super-2 number, since 2×338830128² = 229611711280992768, 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 = 338830092 and 338830101.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19931176 + ... + 19931192.

Almost surely, 2^338830128 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 338830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642771360).

338830128 is an abundant number, since it is smaller than the sum of its proper divisors (946712592).

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

338830128 is a wasteful number, since it uses less digits than its factorization.

338830128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 338830128 is about 18407.3389711821. The cubic root of 338830128 is about 697.1517790095.

The spelling of 338830128 in words is "three hundred thirty-eight million, eight hundred thirty thousand, one hundred twenty-eight".