6828 has 12 divisors (see below), whose sum is σ = 15960. Its totient is φ = 2272.

The previous prime is 6827. The next prime is 6829. The reversal of 6828 is 8286.

It is an interprime number because it is at equal distance from previous prime (6827) and next prime (6829).

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 6798 and 6807.

It is not an unprimeable number, because it can be changed into a prime (6823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (1330).

2⁶⁸²⁸ is an apocalyptic number.

It is an amenable number.

6828 is an abundant number, since it is smaller than the sum of its proper divisors (9132).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980).

6828 is a wasteful number, since it uses less digits than its factorization.

6828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 6828 is about 82.6317130405. The cubic root of 6828 is about 18.9713325759.

The spelling of 6828 in words is "six thousand, eight hundred twenty-eight".