329828918998128 has 160 divisors (see below), whose sum is σ = 942649572851712. Its totient is φ = 98536264646400.

The previous prime is 329828918998127. The next prime is 329828918998133. The reversal of 329828918998128 is 821899819828923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329828918998127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949884801 + ... + 950231967.

Almost surely, 2^{329828918998128} 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 329828918998128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471324786425856).

329828918998128 is an abundant number, since it is smaller than the sum of its proper divisors (612820653853584).

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

329828918998128 is a wasteful number, since it uses less digits than its factorization.

329828918998128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372603 (or 372597 counting only the distinct ones).

The product of its digits is 5159780352, while the sum is 87.

The spelling of 329828918998128 in words is "three hundred twenty-nine trillion, eight hundred twenty-eight billion, nine hundred eighteen million, nine hundred ninety-eight thousand, one hundred twenty-eight".