33628224 has 112 divisors (see below), whose sum is σ = 102998016. Its totient is φ = 9484800.

The previous prime is 33628223. The next prime is 33628229. The reversal of 33628224 is 42282633.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33628224² = 2261714898788352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33628191 and 33628200.

It is not an unprimeable number, because it can be changed into a prime (33628223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175969 + ... + 176159.

Almost surely, 2^33628224 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 33628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51499008).

33628224 is an abundant number, since it is smaller than the sum of its proper divisors (69369792).

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

33628224 is a wasteful number, since it uses less digits than its factorization.

33628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 33628224 is about 5798.9847387280. The cubic root of 33628224 is about 322.7760559223.

The spelling of 33628224 in words is "thirty-three million, six hundred twenty-eight thousand, two hundred twenty-four".