33828608 has 72 divisors (see below), whose sum is σ = 75717936. Its totient is φ = 14950400.

The previous prime is 33828601. The next prime is 33828617. The reversal of 33828608 is 80682833.

It is a super-2 number, since 2×33828608² = 2288749438435328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115310 + ... + 115602.

It is an arithmetic number, because the mean of its divisors is an integer number (1051638).

Almost surely, 2^33828608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37858968).

33828608 is an abundant number, since it is smaller than the sum of its proper divisors (41889328).

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

33828608 is a wasteful number, since it uses less digits than its factorization.

33828608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 33828608 is about 5816.2365839089. The cubic root of 33828608 is about 323.4159064504.

The spelling of 33828608 in words is "thirty-three million, eight hundred twenty-eight thousand, six hundred eight".