33248880 has 200 divisors, whose sum is σ = 132155232. Its totient is φ = 7589376.

The previous prime is 33248863. The next prime is 33248893. The reversal of 33248880 is 8884233.

It is a happy number.

It is a super-2 number, since 2×33248880² = 2210976042508800, 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44994 + ... + 45726.

Almost surely, 2^33248880 is an apocalyptic number.

33248880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66077616).

33248880 is an abundant number, since it is smaller than the sum of its proper divisors (98906352).

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

33248880 is a wasteful number, since it uses less digits than its factorization.

33248880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

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

The square root of 33248880 is about 5766.1841802010. The cubic root of 33248880 is about 321.5577690147.

The spelling of 33248880 in words is "thirty-three million, two hundred forty-eight thousand, eight hundred eighty".