128883307392 has 288 divisors, whose sum is σ = 447349808880. Its totient is φ = 34884919296.

The previous prime is 128883307369. The next prime is 128883307447. The reversal of 128883307392 is 293703388821.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×128883307392² (a number of 23 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2888968 + ... + 2933240.

Almost surely, 2^128883307392 is an apocalyptic number.

128883307392 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 128883307392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223674904440).

128883307392 is an abundant number, since it is smaller than the sum of its proper divisors (318466501488).

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

128883307392 is a wasteful number, since it uses less digits than its factorization.

128883307392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44338 (or 44304 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 128883307392 in words is "one hundred twenty-eight billion, eight hundred eighty-three million, three hundred seven thousand, three hundred ninety-two".