33628 has 12 divisors (see below), whose sum is σ = 67312. Its totient is φ = 14400.

The previous prime is 33623. The next prime is 33629. The reversal of 33628 is 82633.

33628 is an admirable number.

It is a super-2 number, since 2×33628² = 2261684768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33599 and 33608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33623) by changing a digit.

33628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 573 + ... + 628.

2³³⁶²⁸ is an apocalyptic number.

It is an amenable number.

33628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33656).

33628 is a wasteful number, since it uses less digits than its factorization.

33628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1210 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 33628 is about 183.3793881547. The cubic root of 33628 is about 32.2775339243.

It can be divided in two parts, 3362 and 8, that multiplied together give a square (26896 = 164²).

The spelling of 33628 in words is "thirty-three thousand, six hundred twenty-eight".