33628713 has 8 divisors (see below), whose sum is σ = 44878368. Its totient is φ = 22399104.

The previous prime is 33628667. The next prime is 33628723. The reversal of 33628713 is 31782633.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33628713 - 2⁶ = 33628649 is a prime.

It is a super-2 number, since 2×33628713² = 2261780676072738, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33628723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 520 + ... + 8217.

It is an arithmetic number, because the mean of its divisors is an integer number (5609796).

Almost surely, 2^33628713 is an apocalyptic number.

It is an amenable number.

33628713 is a deficient number, since it is larger than the sum of its proper divisors (11249655).

33628713 is a wasteful number, since it uses less digits than its factorization.

33628713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023.

The product of its digits is 18144, while the sum is 33.

The square root of 33628713 is about 5799.0269011275. The cubic root of 33628713 is about 322.7776204487. Note that the first 3 decimals are identical.

The spelling of 33628713 in words is "thirty-three million, six hundred twenty-eight thousand, seven hundred thirteen".