33785028 has 36 divisors (see below), whose sum is σ = 85740928. Its totient is φ = 11216880.

The previous prime is 33784991. The next prime is 33785041. The reversal of 33785028 is 82058733.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33785028² = 2282856233921568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33784983 and 33785001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8025 + ... + 11487.

Almost surely, 2^33785028 is an apocalyptic number.

It is an amenable number.

33785028 is an abundant number, since it is smaller than the sum of its proper divisors (51955900).

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

33785028 is a wasteful number, since it uses less digits than its factorization.

33785028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 33785028 is about 5812.4889677315. The cubic root of 33785028 is about 323.2769656465.

The spelling of 33785028 in words is "thirty-three million, seven hundred eighty-five thousand, twenty-eight".