33828284 has 24 divisors (see below), whose sum is σ = 71218560. Its totient is φ = 13734576.

The previous prime is 33828251. The next prime is 33828287. The reversal of 33828284 is 48282833.

It is a super-2 number, since 2×33828284² = 2288705596769312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31262 + ... + 32325.

It is an arithmetic number, because the mean of its divisors is an integer number (2967440).

Almost surely, 2^33828284 is an apocalyptic number.

It is an amenable number.

33828284 is an abundant number, since it is smaller than the sum of its proper divisors (37390276).

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

33828284 is a wasteful number, since it uses less digits than its factorization.

33828284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63617 (or 63615 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 33828284 is about 5816.2087307799. The cubic root of 33828284 is about 323.4148739211.

It can be divided in two parts, 33 and 828284, that multiplied together give a palindrome (27333372).

The spelling of 33828284 in words is "thirty-three million, eight hundred twenty-eight thousand, two hundred eighty-four".