328725600000 has 864 divisors, whose sum is σ = 1324427231232. Its totient is φ = 70656000000.

The previous prime is 328725599987. The next prime is 328725600019. The reversal of 328725600000 is 6527823.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285599425 + ... + 285600575.

It is an arithmetic number, because the mean of its divisors is an integer number (1532901888).

Almost surely, 2^328725600000 is an apocalyptic number.

328725600000 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 328725600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662213615616).

328725600000 is an abundant number, since it is smaller than the sum of its proper divisors (995701631232).

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

328725600000 is an equidigital number, since it uses as much as digits as its factorization.

328725600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 328725600000 in words is "three hundred twenty-eight billion, seven hundred twenty-five million, six hundred thousand".