33828372 has 18 divisors (see below), whose sum is σ = 85510698. Its totient is φ = 11276112.

The previous prime is 33828359. The next prime is 33828373. The reversal of 33828372 is 27382833.

It can be written as a sum of positive squares in only one way, i.e., 20034576 + 13793796 = 4476^2 + 3714^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×33828372² = 2288717504340768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 939677 = 33828372 / (3 + 3 + 8 + 2 + 8 + 3 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 469803 + ... + 469874.

Almost surely, 2^33828372 is an apocalyptic number.

It is an amenable number.

33828372 is an abundant number, since it is smaller than the sum of its proper divisors (51682326).

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

33828372 is a wasteful number, since it uses less digits than its factorization.

33828372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939687 (or 939682 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 33828372 is about 5816.2162958404. The cubic root of 33828372 is about 323.4151543618.

The spelling of 33828372 in words is "thirty-three million, eight hundred twenty-eight thousand, three hundred seventy-two".