3128832 has 120 divisors (see below), whose sum is σ = 10426416. Its totient is φ = 884736.

The previous prime is 3128821. The next prime is 3128843. The reversal of 3128832 is 2388213.

3128832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3128821) and next prime (3128843).

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.

Its product of digits (2304) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3128796 and 3128805.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32208 + ... + 32304.

Almost surely, 2^3128832 is an apocalyptic number.

3128832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213208).

3128832 is an abundant number, since it is smaller than the sum of its proper divisors (7297584).

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

3128832 is an equidigital number, since it uses as much as digits as its factorization.

3128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3128832 is about 1768.8504741781. The cubic root of 3128832 is about 146.2606216261.

The spelling of 3128832 in words is "three million, one hundred twenty-eight thousand, eight hundred thirty-two".