128882624 has 112 divisors (see below), whose sum is σ = 300410880. Its totient is φ = 54328320.

The previous prime is 128882563. The next prime is 128882659. The reversal of 128882624 is 426288821.

It is a super-2 number, since 2×128882624² = 33221461538250752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489917 + ... + 490179.

It is an arithmetic number, because the mean of its divisors is an integer number (2682240).

Almost surely, 2^128882624 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 128882624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

128882624 is an abundant number, since it is smaller than the sum of its proper divisors (171528256).

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

128882624 is a wasteful number, since it uses less digits than its factorization.

128882624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The square root of 128882624 is about 11352.6483253909. The cubic root of 128882624 is about 505.1241390075.

The spelling of 128882624 in words is "one hundred twenty-eight million, eight hundred eighty-two thousand, six hundred twenty-four".