33728029 has 2 divisors, whose sum is σ = 33728030. Its totient is φ = 33728028.

The previous prime is 33728003. The next prime is 33728033. The reversal of 33728029 is 92082733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33235225 + 492804 = 5765^2 + 702^2 .

It is a cyclic number.

It is not a de Polignac number, because 33728029 - 2⁵ = 33727997 is a prime.

It is a super-2 number, since 2×33728029² = 2275159880449682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33727985 and 33728003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33728069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16864014 + 16864015.

It is an arithmetic number, because the mean of its divisors is an integer number (16864015).

Almost surely, 2^33728029 is an apocalyptic number.

It is an amenable number.

33728029 is a deficient number, since it is larger than the sum of its proper divisors (1).

33728029 is an equidigital number, since it uses as much as digits as its factorization.

33728029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 33728029 is about 5807.5837488580. The cubic root of 33728029 is about 323.0950622309.

The spelling of 33728029 in words is "thirty-three million, seven hundred twenty-eight thousand, twenty-nine".