984112128 has 66 divisors (see below), whose sum is σ = 2841629024. Its totient is φ = 328034304.

The previous prime is 984112123. The next prime is 984112193. The reversal of 984112128 is 821211489.

It is a happy number.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 984112092 and 984112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44176 + ... + 62607.

Almost surely, 2^984112128 is an apocalyptic number.

It is an amenable number.

984112128 is an abundant number, since it is smaller than the sum of its proper divisors (1857516896).

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

984112128 is a wasteful number, since it uses less digits than its factorization.

984112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106809 (or 106788 counting only the distinct ones).

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

The square root of 984112128 is about 31370.5614868462. The cubic root of 984112128 is about 994.6757452885.

The spelling of 984112128 in words is "nine hundred eighty-four million, one hundred twelve thousand, one hundred twenty-eight".