6728 has 12 divisors (see below), whose sum is σ = 13065. Its totient is φ = 3248.

The previous prime is 6719. The next prime is 6733. The reversal of 6728 is 8276.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 4 = 82^2 + 2^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=58.

It is a Duffinian number.

It is an unprimeable number.

6728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 218 + ... + 246.

2⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

6728 is a deficient number, since it is larger than the sum of its proper divisors (6337).

6728 is a wasteful number, since it uses less digits than its factorization.

6728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 6728 is about 82.0243866176. The cubic root of 6728 is about 18.8782613548.

The spelling of 6728 in words is "six thousand, seven hundred twenty-eight".