988128 has 72 divisors (see below), whose sum is σ = 2909088. Its totient is φ = 317952.

The previous prime is 988111. The next prime is 988129. The reversal of 988128 is 821889.

988128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 988092 and 988101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988129) by changing a digit.

988128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13500 + ... + 13572.

It is an arithmetic number, because the mean of its divisors is an integer number (40404).

2⁹⁸⁸¹²⁸ 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 988128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454544).

988128 is an abundant number, since it is smaller than the sum of its proper divisors (1920960).

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

988128 is a wasteful number, since it uses less digits than its factorization.

988128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 988128 is about 994.0462765888. The cubic root of 988128 is about 99.6026902065.

The spelling of 988128 in words is "nine hundred eighty-eight thousand, one hundred twenty-eight".