6827328 has 84 divisors (see below), whose sum is σ = 20340320. Its totient is φ = 2270592.

The previous prime is 6827321. The next prime is 6827333. The reversal of 6827328 is 8237286.

It is a happy number.

It is a super-2 number, since 2×6827328² = 93224815239168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6827292 and 6827301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6827321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15333 + ... + 15771.

Almost surely, 2^6827328 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 6827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10170160).

6827328 is an abundant number, since it is smaller than the sum of its proper divisors (13512992).

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

6827328 is an equidigital number, since it uses as much as digits as its factorization.

6827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 444 counting only the distinct ones).

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

The square root of 6827328 is about 2612.9156128739. The cubic root of 6827328 is about 189.7071018024.

The spelling of 6827328 in words is "six million, eight hundred twenty-seven thousand, three hundred twenty-eight".