33872628 has 12 divisors (see below), whose sum is σ = 79036160. Its totient is φ = 11290872.

The previous prime is 33872623. The next prime is 33872633. The reversal of 33872628 is 82627833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33872623) and next prime (33872633).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×33872628² = 2294709855252768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33872623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1411348 + ... + 1411371.

Almost surely, 2^33872628 is an apocalyptic number.

It is an amenable number.

33872628 is an abundant number, since it is smaller than the sum of its proper divisors (45163532).

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

33872628 is a wasteful number, since it uses less digits than its factorization.

33872628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822726 (or 2822724 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 33872628 is about 5820.0195875959. The cubic root of 33872628 is about 323.5561289646.

The spelling of 33872628 in words is "thirty-three million, eight hundred seventy-two thousand, six hundred twenty-eight".