328293808128 has 864 divisors, whose sum is σ = 1145868469200. Its totient is φ = 90459832320.

The previous prime is 328293808123. The next prime is 328293808151. The reversal of 328293808128 is 821808392823.

It is a happy number.

328293808128 is a `hidden beast` number, since 328 + 293 + 8 + 0 + 8 + 1 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328293808121) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4899907551 + ... + 4899907617.

Almost surely, 2^328293808128 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 328293808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572934234600).

328293808128 is an abundant number, since it is smaller than the sum of its proper divisors (817574661072).

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

328293808128 is a wasteful number, since it uses less digits than its factorization.

328293808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 328293808128 in words is "three hundred twenty-eight billion, two hundred ninety-three million, eight hundred eight thousand, one hundred twenty-eight".