328914432000 has 2080 divisors, whose sum is σ = 1543659346944. Its totient is φ = 67682304000.

The previous prime is 328914431957. The next prime is 328914432019. The reversal of 328914432000 is 234419823.

328914432000 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 1 + 443 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3193343949 + ... + 3193344051.

Almost surely, 2^328914432000 is an apocalyptic number.

328914432000 is a gapful number since it is divisible by the number (30) 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 328914432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771829673472).

328914432000 is an abundant number, since it is smaller than the sum of its proper divisors (1214744914944).

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

328914432000 is a wasteful number, since it uses less digits than its factorization.

328914432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 328914432000 in words is "three hundred twenty-eight billion, nine hundred fourteen million, four hundred thirty-two thousand".