33728957 has 2 divisors, whose sum is σ = 33728958. Its totient is φ = 33728956.

The previous prime is 33728923. The next prime is 33728977. The reversal of 33728957 is 75982733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33709636 + 19321 = 5806^2 + 139^2 .

It is a cyclic number.

It is not a de Polignac number, because 33728957 - 2¹² = 33724861 is a prime.

It is a super-2 number, since 2×33728957² = 2275285080615698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33728977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16864478 + 16864479.

It is an arithmetic number, because the mean of its divisors is an integer number (16864479).

Almost surely, 2^33728957 is an apocalyptic number.

It is an amenable number.

33728957 is a deficient number, since it is larger than the sum of its proper divisors (1).

33728957 is an equidigital number, since it uses as much as digits as its factorization.

33728957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 317520, while the sum is 44.

The square root of 33728957 is about 5807.6636438416. The cubic root of 33728957 is about 323.0980254386.

The spelling of 33728957 in words is "thirty-three million, seven hundred twenty-eight thousand, nine hundred fifty-seven".