33829268 has 24 divisors (see below), whose sum is σ = 64797600. Its totient is φ = 15325920.

The previous prime is 33829267. The next prime is 33829307. The reversal of 33829268 is 86292833.

It is a super-2 number, since 2×33829268² = 2288838746831648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33829267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14255 + ... + 16457.

It is an arithmetic number, because the mean of its divisors is an integer number (2699900).

Almost surely, 2^33829268 is an apocalyptic number.

It is an amenable number.

33829268 is a deficient number, since it is larger than the sum of its proper divisors (30968332).

33829268 is a wasteful number, since it uses less digits than its factorization.

33829268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2565 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 33829268 is about 5816.2933213517. The cubic root of 33829268 is about 323.4180097305.

The spelling of 33829268 in words is "thirty-three million, eight hundred twenty-nine thousand, two hundred sixty-eight".