33638028 has 24 divisors (see below), whose sum is σ = 81196080. Its totient is φ = 10825920.

The previous prime is 33638009. The next prime is 33638047. The reversal of 33638028 is 82083633.

It is an interprime number because it is at equal distance from previous prime (33638009) and next prime (33638047).

It is a super-2 number, since 2×33638028² = 2263033855457568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33638028.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47983 + ... + 48678.

It is an arithmetic number, because the mean of its divisors is an integer number (3383170).

Almost surely, 2^33638028 is an apocalyptic number.

It is an amenable number.

33638028 is an abundant number, since it is smaller than the sum of its proper divisors (47558052).

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

33638028 is a wasteful number, since it uses less digits than its factorization.

33638028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96697 (or 96695 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 33638028 is about 5799.8299975085. The cubic root of 33638028 is about 322.8074203399.

The spelling of 33638028 in words is "thirty-three million, six hundred thirty-eight thousand, twenty-eight".