33008628 has 24 divisors (see below), whose sum is σ = 81551232. Its totient is φ = 10355584.

The previous prime is 33008627. The next prime is 33008639. The reversal of 33008628 is 82680033.

It is a junction number, because it is equal to n+sod(n) for n = 33008595 and 33008604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33008623) 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, 80700 + ... + 81107.

It is an arithmetic number, because the mean of its divisors is an integer number (3397968).

Almost surely, 2^33008628 is an apocalyptic number.

It is an amenable number.

33008628 is an abundant number, since it is smaller than the sum of its proper divisors (48542604).

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

33008628 is a wasteful number, since it uses less digits than its factorization.

33008628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161831 (or 161829 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 33008628 is about 5745.3135684660. The cubic root of 33008628 is about 320.7813847114.

The spelling of 33008628 in words is "thirty-three million, eight thousand, six hundred twenty-eight".