33628736 has 28 divisors (see below), whose sum is σ = 67432428. Its totient is φ = 16637952.

The previous prime is 33628723. The next prime is 33628781. The reversal of 33628736 is 63782633.

It can be written as a sum of positive squares in 2 ways, for example, as 8065600 + 25563136 = 2840^2 + 5056^2 .

It is a super-2 number, since 2×33628736² = 2261783769915392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33628736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3500 + ... + 8916.

It is an arithmetic number, because the mean of its divisors is an integer number (2408301).

Almost surely, 2^33628736 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 33628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33716214).

33628736 is an abundant number, since it is smaller than the sum of its proper divisors (33803692).

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

33628736 is an equidigital number, since it uses as much as digits as its factorization.

33628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5516 counting only the distinct ones).

The product of its digits is 108864, while the sum is 38.

The square root of 33628736 is about 5799.0288842185. The cubic root of 33628736 is about 322.7776940354. Note that the first 3 decimals are identical.

The spelling of 33628736 in words is "thirty-three million, six hundred twenty-eight thousand, seven hundred thirty-six".