33828180 has 48 divisors (see below), whose sum is σ = 95001984. Its totient is φ = 8993920.

The previous prime is 33828149. The next prime is 33828191. The reversal of 33828180 is 8182833.

It is a super-2 number, since 2×33828180² = 2288691524224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27049 + ... + 28271.

It is an arithmetic number, because the mean of its divisors is an integer number (1979208).

Almost surely, 2^33828180 is an apocalyptic number.

33828180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33828180 is an abundant number, since it is smaller than the sum of its proper divisors (61173804).

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

33828180 is a wasteful number, since it uses less digits than its factorization.

33828180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 33828180 is about 5816.1997902410. The cubic root of 33828180 is about 323.4145424906.

The spelling of 33828180 in words is "thirty-three million, eight hundred twenty-eight thousand, one hundred eighty".