33048800 has 72 divisors (see below), whose sum is σ = 81635400. Its totient is φ = 13063680.

The previous prime is 33048793. The next prime is 33048803. The reversal of 33048800 is 884033.

It is a self number, because there is not a number n which added to its sum of digits gives 33048800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33048803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87011 + ... + 87389.

It is an arithmetic number, because the mean of its divisors is an integer number (1133825).

Almost surely, 2^33048800 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 33048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40817700).

33048800 is an abundant number, since it is smaller than the sum of its proper divisors (48586600).

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

33048800 is a wasteful number, since it uses less digits than its factorization.

33048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 33048800 is about 5748.8085722174. The cubic root of 33048800 is about 320.9114638900.

The spelling of 33048800 in words is "thirty-three million, forty-eight thousand, eight hundred".