33672628 has 12 divisors (see below), whose sum is σ = 64284192. Its totient is φ = 15305720.

The previous prime is 33672623. The next prime is 33672629. The reversal of 33672628 is 82627633.

It is a super-2 number, since 2×33672628² = 2267691752852768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33672623) 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 3 ways as a sum of consecutive naturals, for example, 382600 + ... + 382687.

It is an arithmetic number, because the mean of its divisors is an integer number (5357016).

Almost surely, 2^33672628 is an apocalyptic number.

It is an amenable number.

33672628 is a deficient number, since it is larger than the sum of its proper divisors (30611564).

33672628 is a wasteful number, since it uses less digits than its factorization.

33672628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765302 (or 765300 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 33672628 is about 5802.8120769158. The cubic root of 33672628 is about 322.9180620756.

It can be divided in two parts, 3367 and 2628, that added together give a palindrome (5995).

The spelling of 33672628 in words is "thirty-three million, six hundred seventy-two thousand, six hundred twenty-eight".