33628712 has 32 divisors (see below), whose sum is σ = 69196680. Its totient is φ = 15225600.

The previous prime is 33628667. The next prime is 33628723. The reversal of 33628712 is 21782633.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28366276 + 5262436 = 5326^2 + 2294^2 .

It is a super-2 number, since 2×33628712² = 2261780541557888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2462 + ... + 8562.

Almost surely, 2^33628712 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 33628712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34598340).

33628712 is an abundant number, since it is smaller than the sum of its proper divisors (35567968).

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

33628712 is a wasteful number, since it uses less digits than its factorization.

33628712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6169 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 33628712 is about 5799.0268149061. The cubic root of 33628712 is about 322.7776172492. Note that the first 3 decimals are identical.

It can be divided in two parts, 3362 and 8712, that multiplied together give a square (29289744 = 5412²).

The spelling of 33628712 in words is "thirty-three million, six hundred twenty-eight thousand, seven hundred twelve".