338246928 has 100 divisors (see below), whose sum is σ = 983062080. Its totient is φ = 112280256.

The previous prime is 338246917. The next prime is 338246939. The reversal of 338246928 is 829642833.

It is an interprime number because it is at equal distance from previous prime (338246917) and next prime (338246939).

It is a super-2 number, since 2×338246928² = 228821968602874368, which contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 464901 + ... + 465627.

Almost surely, 2^338246928 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 338246928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491531040).

338246928 is an abundant number, since it is smaller than the sum of its proper divisors (644815152).

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

338246928 is a wasteful number, since it uses less digits than its factorization.

338246928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1091 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 338246928 is about 18391.4906410546. The cubic root of 338246928 is about 696.7515662604.

The spelling of 338246928 in words is "three hundred thirty-eight million, two hundred forty-six thousand, nine hundred twenty-eight".