33228 has 36 divisors (see below), whose sum is σ = 91728. Its totient is φ = 10080.

The previous prime is 33223. The next prime is 33247. The reversal of 33228 is 82233.

33228 = T₃₇ + T₃₈ + ... + T₆₂.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33228² = 2208199968, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3⁴ + 3⁵ + 2⁷ + 2¹⁵ + 8 .

It is a self number, because there is not a number n which added to its sum of digits gives 33228.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33228.

It is not an unprimeable number, because it can be changed into a prime (33223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2³³²²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

33228 is an abundant number, since it is smaller than the sum of its proper divisors (58500).

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

33228 is a wasteful number, since it uses less digits than its factorization.

33228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 33228 is about 182.2854903716. The cubic root of 33228 is about 32.1490443116.

The spelling of 33228 in words is "thirty-three thousand, two hundred twenty-eight".