332404128 has 384 divisors, whose sum is σ = 1214922240. Its totient is φ = 86261760.

The previous prime is 332404117. The next prime is 332404133. The reversal of 332404128 is 821404233.

332404128 is a `hidden beast` number, since 3 + 3 + 240 + 412 + 8 = 666.

332404128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332404128² = 220985008622880768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 5449218 + ... + 5449278.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2^332404128 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 332404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607461120).

332404128 is an abundant number, since it is smaller than the sum of its proper divisors (882518112).

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

332404128 is a wasteful number, since it uses less digits than its factorization.

332404128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 332404128 is about 18231.9534883128. The cubic root of 332404128 is about 692.7163997640.

The spelling of 332404128 in words is "three hundred thirty-two million, four hundred four thousand, one hundred twenty-eight".