328009825188864 has 704 divisors, whose sum is σ = 1202184190305280. Its totient is φ = 86030021099520.

The previous prime is 328009825188847. The next prime is 328009825188911. The reversal of 328009825188864 is 468881528900823.

It is a happy number.

328009825188864 is a `hidden beast` number, since 3 + 28 + 0 + 0 + 9 + 8 + 2 + 518 + 8 + 86 + 4 = 666.

It is a super-2 number, since 2×328009825188864² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 328009825188792 and 328009825188801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455030067 + ... + 455750349.

Almost surely, 2^{328009825188864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328009825188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601092095152640).

328009825188864 is an abundant number, since it is smaller than the sum of its proper divisors (874174365116416).

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

328009825188864 is a wasteful number, since it uses less digits than its factorization.

328009825188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720513 (or 720489 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 328009825188864 in words is "three hundred twenty-eight trillion, nine billion, eight hundred twenty-five million, one hundred eighty-eight thousand, eight hundred sixty-four".