33628104 has 48 divisors (see below), whose sum is σ = 92448720. Its totient is φ = 11040480.

The previous prime is 33628073. The next prime is 33628121. The reversal of 33628104 is 40182633.

It is a happy number.

33628104 is a `hidden beast` number, since 33 + 628 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×33628104² = 2261698757269632, which contains 22 as substring.

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, 1339 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (1926015).

Almost surely, 2^33628104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33628104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46224360).

33628104 is an abundant number, since it is smaller than the sum of its proper divisors (58820616).

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

33628104 is a wasteful number, since it uses less digits than its factorization.

33628104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33628104 is about 5798.9743920800. The cubic root of 33628104 is about 322.7756719872.

The spelling of 33628104 in words is "thirty-three million, six hundred twenty-eight thousand, one hundred four".