33040128 has 72 divisors (see below), whose sum is σ = 95953536. Its totient is φ = 10009600.

The previous prime is 33040127. The next prime is 33040229. The reversal of 33040128 is 82104033.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33040127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6493 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (1332688).

Almost surely, 2^33040128 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 33040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47976768).

33040128 is an abundant number, since it is smaller than the sum of its proper divisors (62913408).

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

33040128 is a wasteful number, since it uses less digits than its factorization.

33040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3941 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 33040128 is about 5748.0542794932. The cubic root of 33040128 is about 320.8833923951.

The spelling of 33040128 in words is "thirty-three million, forty thousand, one hundred twenty-eight".