33482988 has 144 divisors (see below), whose sum is σ = 108186624. Its totient is φ = 8478720.

The previous prime is 33482987. The next prime is 33482989. The reversal of 33482988 is 88928433.

It is an interprime number because it is at equal distance from previous prime (33482987) and next prime (33482989).

It is a super-2 number, since 2×33482988² = 2242220970816288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33482987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130156 + ... + 130412.

It is an arithmetic number, because the mean of its divisors is an integer number (751296).

Almost surely, 2^33482988 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 33482988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54093312).

33482988 is an abundant number, since it is smaller than the sum of its proper divisors (74703636).

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

33482988 is a wasteful number, since it uses less digits than its factorization.

33482988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 33482988 is about 5786.4486518071. The cubic root of 33482988 is about 322.3107091810.

It can be divided in two parts, 3348 and 2988, that added together give a palindrome (6336).

The spelling of 33482988 in words is "thirty-three million, four hundred eighty-two thousand, nine hundred eighty-eight".