328388256000 has 1008 divisors, whose sum is σ = 1402437848448. Its totient is φ = 75022848000.

The previous prime is 328388255981. The next prime is 328388256011. The reversal of 328388256000 is 652883823.

328388256000 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 8 + 82 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163294995 + ... + 163297005.

Almost surely, 2^328388256000 is an apocalyptic number.

328388256000 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 328388256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701218924224).

328388256000 is an abundant number, since it is smaller than the sum of its proper divisors (1074049592448).

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

328388256000 is an frugal number, since it uses more digits than its factorization.

328388256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 328388256000 in words is "three hundred twenty-eight billion, three hundred eighty-eight million, two hundred fifty-six thousand".