328089600000 has 648 divisors, whose sum is σ = 1197998752860. Its totient is φ = 86507520000.

The previous prime is 328089599963. The next prime is 328089600017. The reversal of 328089600000 is 6980823.

It can be written as a sum of positive squares in 6 ways, for example, as 81183965184 + 246905634816 = 284928^2 + 496896^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3686399956 + ... + 3686400044.

Almost surely, 2^328089600000 is an apocalyptic number.

328089600000 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 328089600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598999376430).

328089600000 is an abundant number, since it is smaller than the sum of its proper divisors (869909152860).

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

328089600000 is an frugal number, since it uses more digits than its factorization.

328089600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 328089600000 in words is "three hundred twenty-eight billion, eighty-nine million, six hundred thousand".