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3228 = 223269

3228 has 12 divisors (see below), whose sum is σ = 7560. Its totient is φ = 1072.

The previous prime is 3221. The next prime is 3229. The reversal of 3228 is 8223.

3228 is nontrivially palindromic in base 16.

3228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

3228 is an undulating number in base 16.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221) by changing a digit.

3228 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, 123 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

23228 is an apocalyptic number.

It is an amenable number.

3228 is an abundant number, since it is smaller than the sum of its proper divisors (4332).

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 (3780).

3228 is a wasteful number, since it uses less digits than its factorization.

3228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 3228 is about 56.8154908454. The cubic root of 3228 is about 14.7789816085.

It can be divided in two parts, 3 and 228, that added together give a triangular number (231 = T21).

The spelling of 3228 in words is "three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 269 538 807 1076 1614 3228