323432928 has 432 divisors, whose sum is σ = 1207782576. Its totient is φ = 81285120.

The previous prime is 323432917. The next prime is 323432981. The reversal of 323432928 is 829234323.

323432928 is a `hidden beast` number, since 323 + 4 + 329 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 323432892 and 323432901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7521675 + ... + 7521717.

It is an arithmetic number, because the mean of its divisors is an integer number (2795793).

Almost surely, 2^323432928 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 323432928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603891288).

323432928 is an abundant number, since it is smaller than the sum of its proper divisors (884349648).

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

323432928 is a wasteful number, since it uses less digits than its factorization.

323432928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 323432928 is about 17984.2411015867. The cubic root of 323432928 is about 686.4276106715.

The spelling of 323432928 in words is "three hundred twenty-three million, four hundred thirty-two thousand, nine hundred twenty-eight".