33264288 has 72 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 10502784.

The previous prime is 33264263. The next prime is 33264289. The reversal of 33264288 is 88246233.

33264288 is a `hidden beast` number, since 3 + 3 + 2 + 642 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33264288² = 2213025712293888, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33264289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2433 + ... + 8511.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 2^33264288 is an apocalyptic number.

33264288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

33264288 is the 3648-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33264288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

33264288 is an abundant number, since it is smaller than the sum of its proper divisors (66326112).

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

33264288 is a wasteful number, since it uses less digits than its factorization.

33264288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6103 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 33264288 is about 5767.5200909923. The cubic root of 33264288 is about 321.6074328125.

It can be divided in two parts, 332 and 64288, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 33264288 in words is "thirty-three million, two hundred sixty-four thousand, two hundred eighty-eight".