33505828 has 12 divisors (see below), whose sum is σ = 58695280. Its totient is φ = 16735752.

The previous prime is 33505799. The next prime is 33505847. The reversal of 33505828 is 82850533.

It is a super-2 number, since 2×33505828² = 2245281019931168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33505793 and 33505802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 763 + ... + 8221.

Almost surely, 2^33505828 is an apocalyptic number.

It is an amenable number.

33505828 is a deficient number, since it is larger than the sum of its proper divisors (25189452).

33505828 is a wasteful number, since it uses less digits than its factorization.

33505828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 33505828 is about 5788.4218920186. The cubic root of 33505828 is about 322.3839792584.

The spelling of 33505828 in words is "thirty-three million, five hundred five thousand, eight hundred twenty-eight".