128325829632 has 704 divisors, whose sum is σ = 475401830400. Its totient is φ = 29685841920.

The previous prime is 128325829591. The next prime is 128325829651. The reversal of 128325829632 is 236928523821.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89176369 + ... + 89177807.

Almost surely, 2^128325829632 is an apocalyptic number.

128325829632 is a gapful number since it is divisible by the number (12) 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 128325829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237700915200).

128325829632 is an abundant number, since it is smaller than the sum of its proper divisors (347076000768).

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

128325829632 is a wasteful number, since it uses less digits than its factorization.

128325829632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1504 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 128325829632 in words is "one hundred twenty-eight billion, three hundred twenty-five million, eight hundred twenty-nine thousand, six hundred thirty-two".