338639228928 has 2496 divisors, whose sum is σ = 1505990707200. Its totient is φ = 73574645760.

The previous prime is 338639228849. The next prime is 338639228933. The reversal of 338639228928 is 829822936833.

338639228928 is a `hidden beast` number, since 3 + 386 + 3 + 9 + 228 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×338639228928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14723444725 + ... + 14723444747.

Almost surely, 2^338639228928 is an apocalyptic number.

338639228928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338639228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752995353600).

338639228928 is an abundant number, since it is smaller than the sum of its proper divisors (1167351478272).

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

338639228928 is a wasteful number, since it uses less digits than its factorization.

338639228928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 338639228928 in words is "three hundred thirty-eight billion, six hundred thirty-nine million, two hundred twenty-eight thousand, nine hundred twenty-eight".