33828800 has 42 divisors (see below), whose sum is σ = 83243928. Its totient is φ = 13530880.

The previous prime is 33828779. The next prime is 33828829. The reversal of 33828800 is 882833.

It is a super-2 number, since 2×33828800² = 2288775418880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8972 + ... + 12171.

Almost surely, 2^33828800 is an apocalyptic number.

It is an amenable number.

33828800 is an abundant number, since it is smaller than the sum of its proper divisors (49415128).

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

33828800 is a wasteful number, since it uses less digits than its factorization.

33828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21165 (or 21150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 33828800 is about 5816.2530894039. The cubic root of 33828800 is about 323.4165183166.

It can be divided in two parts, 338 and 28800, that multiplied together give a square (9734400 = 3120²).

The spelling of 33828800 in words is "thirty-three million, eight hundred twenty-eight thousand, eight hundred".