984832128 has 128 divisors (see below), whose sum is σ = 3321936000. Its totient is φ = 281373696.

The previous prime is 984832103. The next prime is 984832153. The reversal of 984832128 is 821238489.

It is an interprime number because it is at equal distance from previous prime (984832103) and next prime (984832153).

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 3838 + ... + 44546.

It is an arithmetic number, because the mean of its divisors is an integer number (25952625).

Almost surely, 2^984832128 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 984832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660968000).

984832128 is an abundant number, since it is smaller than the sum of its proper divisors (2337103872).

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

984832128 is a wasteful number, since it uses less digits than its factorization.

984832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40739 (or 40721 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 984832128 is about 31382.0351156518. The cubic root of 984832128 is about 994.9182623528.

The spelling of 984832128 in words is "nine hundred eighty-four million, eight hundred thirty-two thousand, one hundred twenty-eight".