6228 has 18 divisors (see below), whose sum is σ = 15834. Its totient is φ = 2064.

The previous prime is 6221. The next prime is 6229. The reversal of 6228 is 8226.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 144 = 78^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 6228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6221) by changing a digit.

6228 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 5 ways as a sum of consecutive naturals, for example, 51 + ... + 122.

2⁶²²⁸ is an apocalyptic number.

It is an amenable number.

6228 is an abundant number, since it is smaller than the sum of its proper divisors (9606).

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

6228 is a wasteful number, since it uses less digits than its factorization.

6228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 6228 is about 78.9176786278. The cubic root of 6228 is about 18.3985190995.

It can be divided in two parts, 622 and 8, that added together give a triangular number (630 = T₃₅).

The spelling of 6228 in words is "six thousand, two hundred twenty-eight".