128813984 has 48 divisors (see below), whose sum is σ = 285005952. Its totient is φ = 56863488.

The previous prime is 128813957. The next prime is 128813987. The reversal of 128813984 is 489318821.

It is not an unprimeable number, because it can be changed into a prime (128813987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2837 + ... + 16299.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2^128813984 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 128813984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142502976).

128813984 is an abundant number, since it is smaller than the sum of its proper divisors (156191968).

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

128813984 is a wasteful number, since it uses less digits than its factorization.

128813984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13509 (or 13501 counting only the distinct ones).

The product of its digits is 110592, while the sum is 44.

The square root of 128813984 is about 11349.6248396147. The cubic root of 128813984 is about 505.0344504812.

The spelling of 128813984 in words is "one hundred twenty-eight million, eight hundred thirteen thousand, nine hundred eighty-four".