33282816 has 144 divisors (see below), whose sum is σ = 104391168. Its totient is φ = 9216000.

The previous prime is 33282811. The next prime is 33282827. The reversal of 33282816 is 61828233.

It is a super-2 number, since 2×33282816² = 2215491681779712, which contains 22 as substring.

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 (33282811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220341 + ... + 220491.

Almost surely, 2^33282816 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 33282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52195584).

33282816 is an abundant number, since it is smaller than the sum of its proper divisors (71108352).

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

33282816 is a wasteful number, since it uses less digits than its factorization.

33282816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 33282816 is about 5769.1261036660. The cubic root of 33282816 is about 321.6671328381.

The spelling of 33282816 in words is "thirty-three million, two hundred eighty-two thousand, eight hundred sixteen".