328534707017088 has 640 divisors, whose sum is σ = 1157411930653440. Its totient is φ = 91196256153600.

The previous prime is 328534707016969. The next prime is 328534707017129. The reversal of 328534707017088 is 880710707435823.

328534707017088 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 3 + 470 + 70 + 17 + 0 + 88 = 666.

It is a super-2 number, since 2×328534707017088² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193377981 + ... + 195069507.

It is an arithmetic number, because the mean of its divisors is an integer number (1808456141646).

Almost surely, 2^{328534707017088} 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 328534707017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578705965326720).

328534707017088 is an abundant number, since it is smaller than the sum of its proper divisors (828877223636352).

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

328534707017088 is a wasteful number, since it uses less digits than its factorization.

328534707017088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691708 (or 1691687 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 328534707017088 in words is "three hundred twenty-eight trillion, five hundred thirty-four billion, seven hundred seven million, seventeen thousand, eighty-eight".