33116928 has 144 divisors (see below), whose sum is σ = 98896896. Its totient is φ = 9768960.

The previous prime is 33116921. The next prime is 33116929. The reversal of 33116928 is 82961133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33116921) 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 15 ways as a sum of consecutive naturals, for example, 309451 + ... + 309557.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 2^33116928 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 33116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49448448).

33116928 is an abundant number, since it is smaller than the sum of its proper divisors (65779968).

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

33116928 is a wasteful number, since it uses less digits than its factorization.

33116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 33116928 is about 5754.7309233360. The cubic root of 33116928 is about 321.1318253988.

The spelling of 33116928 in words is "thirty-three million, one hundred sixteen thousand, nine hundred twenty-eight".