6728832 has 160 divisors (see below), whose sum is σ = 22215600. Its totient is φ = 2004480.

The previous prime is 6728809. The next prime is 6728833. The reversal of 6728832 is 2388276.

It is a happy number.

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

Its product of digits (32256) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (6728833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114019 + ... + 114077.

Almost surely, 2^6728832 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 6728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107800).

6728832 is an abundant number, since it is smaller than the sum of its proper divisors (15486768).

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

6728832 is a wasteful number, since it uses less digits than its factorization.

6728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6728832 is about 2593.9992289899. Note that the first 3 decimals coincide. The cubic root of 6728832 is about 188.7903949916.

The spelling of 6728832 in words is "six million, seven hundred twenty-eight thousand, eight hundred thirty-two".