33829152 has 48 divisors (see below), whose sum is σ = 101489472. Its totient is φ = 9665280.

The previous prime is 33829151. The next prime is 33829163. The reversal of 33829152 is 25192833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33829152² = 2288823050078208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (33829151) 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, 24499 + ... + 25842.

It is an arithmetic number, because the mean of its divisors is an integer number (2114364).

Almost surely, 2^33829152 is an apocalyptic number.

33829152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33829152 is an abundant number, since it is smaller than the sum of its proper divisors (67660320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33829152 is a wasteful number, since it uses less digits than its factorization.

33829152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50361 (or 50353 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 33829152 is about 5816.2833493564. The cubic root of 33829152 is about 323.4176400651.

The spelling of 33829152 in words is "thirty-three million, eight hundred twenty-nine thousand, one hundred fifty-two".