328052981318400 has 7776 divisors, whose sum is σ = 1527385357330560. Its totient is φ = 68865868431360.

The previous prime is 328052981318327. The next prime is 328052981318407. The reversal of 328052981318400 is 4813189250823.

328052981318400 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 529 + 8 + 1 + 31 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328052981318407) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 6189678892774 + ... + 6189678892826.

It is an arithmetic number, because the mean of its divisors is an integer number (196423014060).

Almost surely, 2^{328052981318400} is an apocalyptic number.

328052981318400 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 328052981318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763692678665280).

328052981318400 is an abundant number, since it is smaller than the sum of its proper divisors (1199332376012160).

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

328052981318400 is a wasteful number, since it uses less digits than its factorization.

328052981318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 328052981318400 in words is "three hundred twenty-eight trillion, fifty-two billion, nine hundred eighty-one million, three hundred eighteen thousand, four hundred".