33828464 has 20 divisors (see below), whose sum is σ = 65654280. Its totient is φ = 16885440.

The previous prime is 33828439. The next prime is 33828467. The reversal of 33828464 is 46482833.

It is a super-2 number, since 2×33828464² = 2288729953198592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828467) 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, 10394 + ... + 13254.

It is an arithmetic number, because the mean of its divisors is an integer number (3282714).

Almost surely, 2^33828464 is an apocalyptic number.

It is an amenable number.

33828464 is a deficient number, since it is larger than the sum of its proper divisors (31825816).

33828464 is a wasteful number, since it uses less digits than its factorization.

33828464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3602 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 33828464 is about 5816.2242047569. The cubic root of 33828464 is about 323.4154475493.

The spelling of 33828464 in words is "thirty-three million, eight hundred twenty-eight thousand, four hundred sixty-four".