33288084 has 72 divisors (see below), whose sum is σ = 91116480. Its totient is φ = 10606464.

The previous prime is 33288077. The next prime is 33288089. The reversal of 33288084 is 48088233.

It is a happy number.

It is a super-2 number, since 2×33288084² = 2216193072782112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33288089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21612 + ... + 23100.

Almost surely, 2^33288084 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 33288084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45558240).

33288084 is an abundant number, since it is smaller than the sum of its proper divisors (57828396).

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

33288084 is a wasteful number, since it uses less digits than its factorization.

33288084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 33288084 is about 5769.5826538841. The cubic root of 33288084 is about 321.6841030874.

The spelling of 33288084 in words is "thirty-three million, two hundred eighty-eight thousand, eighty-four".