328111056000 has 1920 divisors, whose sum is σ = 1500655469040. Its totient is φ = 68279500800.

The previous prime is 328111055989. The next prime is 328111056019. The reversal of 328111056000 is 650111823.

328111056000 is a `hidden beast` number, since 32 + 8 + 11 + 10 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 112021056 + 327999034944 = 10584^2 + 572712^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4494671964 + ... + 4494672036.

Almost surely, 2^328111056000 is an apocalyptic number.

328111056000 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 328111056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750327734520).

328111056000 is an abundant number, since it is smaller than the sum of its proper divisors (1172544413040).

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

328111056000 is an equidigital number, since it uses as much as digits as its factorization.

328111056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 328111056000 its reverse (650111823), we get a palindrome (328761167823).

The spelling of 328111056000 in words is "three hundred twenty-eight billion, one hundred eleven million, fifty-six thousand".