33828992 has 16 divisors (see below), whose sum is σ = 67393950. Its totient is φ = 16914432.

The previous prime is 33828943. The next prime is 33829001. The reversal of 33828992 is 29982833.

It can be written as a sum of positive squares in only one way, i.e., 33825856 + 3136 = 5816^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×33828992² = 2288801399472128, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132017 + ... + 132272.

Almost surely, 2^33828992 is an apocalyptic number.

33828992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33828992 is a deficient number, since it is larger than the sum of its proper divisors (33564958).

33828992 is an equidigital number, since it uses as much as digits as its factorization.

33828992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264303 (or 264291 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 33828992 is about 5816.2695948520. The cubic root of 33828992 is about 323.4171301804.

The spelling of 33828992 in words is "thirty-three million, eight hundred twenty-eight thousand, nine hundred ninety-two".