33228664 has 96 divisors (see below), whose sum is σ = 77976000. Its totient is φ = 13208832.

The previous prime is 33228649. The next prime is 33228673. The reversal of 33228664 is 46682233.

It is a super-2 number, since 2×33228664² = 2208288222449792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420577 + ... + 420655.

It is an arithmetic number, because the mean of its divisors is an integer number (812250).

Almost surely, 2^33228664 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 33228664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988000).

33228664 is an abundant number, since it is smaller than the sum of its proper divisors (44747336).

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

33228664 is a wasteful number, since it uses less digits than its factorization.

33228664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 33228664 is about 5764.4309346197. The cubic root of 33228664 is about 321.4925845653.

The spelling of 33228664 in words is "thirty-three million, two hundred twenty-eight thousand, six hundred sixty-four".