33728013 has 12 divisors (see below), whose sum is σ = 53147328. Its totient is φ = 20441160.

The previous prime is 33728003. The next prime is 33728029. The reversal of 33728013 is 31082733.

It is not a de Polignac number, because 33728013 - 2⁴ = 33727997 is a prime.

It is a super-2 number, since 2×33728013² = 2275157721856338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33728003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170245 + ... + 170442.

It is an arithmetic number, because the mean of its divisors is an integer number (4428944).

Almost surely, 2^33728013 is an apocalyptic number.

33728013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33728013 is a deficient number, since it is larger than the sum of its proper divisors (19419315).

33728013 is a wasteful number, since it uses less digits than its factorization.

33728013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340704 (or 340701 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 33728013 is about 5807.5823713487. The cubic root of 33728013 is about 323.0950111406.

The spelling of 33728013 in words is "thirty-three million, seven hundred twenty-eight thousand, thirteen".