6832128 has 60 divisors (see below), whose sum is σ = 18349520. Its totient is φ = 2260992.

The previous prime is 6832103. The next prime is 6832151. The reversal of 6832128 is 8212386.

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

Its product of digits (4608) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6832095 and 6832104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49083 + ... + 49221.

Almost surely, 2^6832128 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 6832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174760).

6832128 is an abundant number, since it is smaller than the sum of its proper divisors (11517392).

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

6832128 is an equidigital number, since it uses as much as digits as its factorization.

6832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 6832128 is about 2613.8339656528. The cubic root of 6832128 is about 189.7515496826.

The spelling of 6832128 in words is "six million, eight hundred thirty-two thousand, one hundred twenty-eight".