33055128 has 80 divisors (see below), whose sum is σ = 95832000. Its totient is φ = 10632384.

The previous prime is 33055111. The next prime is 33055129. The reversal of 33055128 is 82155033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33055129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17913 + ... + 19671.

It is an arithmetic number, because the mean of its divisors is an integer number (1197900).

Almost surely, 2^33055128 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 33055128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47916000).

33055128 is an abundant number, since it is smaller than the sum of its proper divisors (62776872).

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

33055128 is a wasteful number, since it uses less digits than its factorization.

33055128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 33055128 is about 5749.3589207841. The cubic root of 33055128 is about 320.9319446957.

The spelling of 33055128 in words is "thirty-three million, fifty-five thousand, one hundred twenty-eight".