33853728 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 10757376.

The previous prime is 33853727. The next prime is 33853751. The reversal of 33853728 is 82735833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33853728² = 2292149798995968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33853727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243483 + ... + 243621.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 2^33853728 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 33853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

33853728 is an abundant number, since it is smaller than the sum of its proper divisors (59285472).

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

33853728 is a wasteful number, since it uses less digits than its factorization.

33853728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 33853728 is about 5818.3956551613. The cubic root of 33853728 is about 323.4959392783.

The spelling of 33853728 in words is "thirty-three million, eight hundred fifty-three thousand, seven hundred twenty-eight".