33287868 has 48 divisors (see below), whose sum is σ = 86803360. Its totient is φ = 11031552.

The previous prime is 33287861. The next prime is 33287873. The reversal of 33287868 is 86878233.

It is a super-2 number, since 2×33287868² = 2216164311970848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33287861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20046 + ... + 21642.

Almost surely, 2^33287868 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 33287868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43401680).

33287868 is an abundant number, since it is smaller than the sum of its proper divisors (53515492).

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

33287868 is a wasteful number, since it uses less digits than its factorization.

33287868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1795 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 33287868 is about 5769.5639349954. The cubic root of 33287868 is about 321.6834073038.

The spelling of 33287868 in words is "thirty-three million, two hundred eighty-seven thousand, eight hundred sixty-eight".