332013009328 has 640 divisors, whose sum is σ = 936900034560. Its totient is φ = 110649369600.

The previous prime is 332013009287. The next prime is 332013009329. The reversal of 332013009328 is 823900310233.

It is a happy number.

It is a super-2 number, since 2×332013009328² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332013009293 and 332013009302.

It is not an unprimeable number, because it can be changed into a prime (332013009329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2614275601 + ... + 2614275727.

It is an arithmetic number, because the mean of its divisors is an integer number (1463906304).

Almost surely, 2^332013009328 is an apocalyptic number.

332013009328 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 332013009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468450017280).

332013009328 is an abundant number, since it is smaller than the sum of its proper divisors (604887025232).

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

332013009328 is a wasteful number, since it uses less digits than its factorization.

332013009328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 332013009328 in words is "three hundred thirty-two billion, thirteen million, nine thousand, three hundred twenty-eight".