33828832 has 24 divisors (see below), whose sum is σ = 67051152. Its totient is φ = 16800000.

The previous prime is 33828829. The next prime is 33828833. The reversal of 33828832 is 23882833.

It is a super-2 number, since 2×33828832² = 2288779748968448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33828791 and 33828800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332 + ... + 8332.

It is an arithmetic number, because the mean of its divisors is an integer number (2793798).

Almost surely, 2^33828832 is an apocalyptic number.

33828832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33828832 is a deficient number, since it is larger than the sum of its proper divisors (33222320).

33828832 is a wasteful number, since it uses less digits than its factorization.

33828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162 (or 7154 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 33828832 is about 5816.2558403151. The cubic root of 33828832 is about 323.4166202940.

The spelling of 33828832 in words is "thirty-three million, eight hundred twenty-eight thousand, eight hundred thirty-two".