328800632160 has 768 divisors, whose sum is σ = 1398754344960. Its totient is φ = 62697922560.

The previous prime is 328800632129. The next prime is 328800632213. The reversal of 328800632160 is 61236008823.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86004009 + ... + 86007831.

It is an arithmetic number, because the mean of its divisors is an integer number (1821294720).

Almost surely, 2^328800632160 is an apocalyptic number.

328800632160 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 328800632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699377172480).

328800632160 is an abundant number, since it is smaller than the sum of its proper divisors (1069953712800).

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

328800632160 is a wasteful number, since it uses less digits than its factorization.

328800632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 328800632160 in words is "three hundred twenty-eight billion, eight hundred million, six hundred thirty-two thousand, one hundred sixty".