66228 has 12 divisors (see below), whose sum is σ = 154560. Its totient is φ = 22072.

The previous prime is 66221. The next prime is 66239. The reversal of 66228 is 82266.

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

It is a super-2 number, since 2×66228² = 8772295968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66198 and 66207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66221) by changing a digit.

66228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2748 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (12880).

2⁶⁶²²⁸ is an apocalyptic number.

It is an amenable number.

66228 is an abundant number, since it is smaller than the sum of its proper divisors (88332).

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 (77280).

66228 is a wasteful number, since it uses less digits than its factorization.

66228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5524 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 66228 is about 257.3480133982. The cubic root of 66228 is about 40.4588822137.

The spelling of 66228 in words is "sixty-six thousand, two hundred twenty-eight".