328215888000 has 3840 divisors, whose sum is σ = 1720802603520. Its totient is φ = 60217344000.

The previous prime is 328215887953. The next prime is 328215888043. The reversal of 328215888000 is 888512823.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14270255989 + ... + 14270256011.

It is an arithmetic number, because the mean of its divisors is an integer number (448125678).

Almost surely, 2^328215888000 is an apocalyptic number.

328215888000 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 328215888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860401301760).

328215888000 is an abundant number, since it is smaller than the sum of its proper divisors (1392586715520).

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

328215888000 is a wasteful number, since it uses less digits than its factorization.

328215888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 328215888000 in words is "three hundred twenty-eight billion, two hundred fifteen million, eight hundred eighty-eight thousand".