33828844 has 24 divisors (see below), whose sum is σ = 71638560. Its totient is φ = 13645056.

The previous prime is 33828833. The next prime is 33828869. The reversal of 33828844 is 44882833.

It is a super-2 number, since 2×33828844² = 2288781372752672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33828797 and 33828806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35059 + ... + 36010.

It is an arithmetic number, because the mean of its divisors is an integer number (2984940).

Almost surely, 2^33828844 is an apocalyptic number.

33828844 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

33828844 is an abundant number, since it is smaller than the sum of its proper divisors (37809716).

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

33828844 is a wasteful number, since it uses less digits than its factorization.

33828844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71097 (or 71095 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 33828844 is about 5816.2568719065. The cubic root of 33828844 is about 323.4166585355.

The spelling of 33828844 in words is "thirty-three million, eight hundred twenty-eight thousand, eight hundred forty-four".