33132048 has 80 divisors (see below), whose sum is σ = 95440320. Its totient is φ = 9842688.

The previous prime is 33132019. The next prime is 33132053. The reversal of 33132048 is 84023133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14436 + ... + 16572.

It is an arithmetic number, because the mean of its divisors is an integer number (1193004).

Almost surely, 2^33132048 is an apocalyptic number.

33132048 is a gapful number since it is divisible by the number (38) 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 33132048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47720160).

33132048 is an abundant number, since it is smaller than the sum of its proper divisors (62308272).

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

33132048 is a wasteful number, since it uses less digits than its factorization.

33132048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 33132048 is about 5756.0444751583. The cubic root of 33132048 is about 321.1806903825.

The spelling of 33132048 in words is "thirty-three million, one hundred thirty-two thousand, forty-eight".