33828282 has 24 divisors (see below), whose sum is σ = 74498580. Its totient is φ = 11090880.

The previous prime is 33828251. The next prime is 33828287. The reversal of 33828282 is 28282833.

It can be written as a sum of positive squares in 2 ways, for example, as 33419961 + 408321 = 5781^2 + 639^2 .

It is a super-2 number, since 2×33828282² = 2288705326143048, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 14307 + ... + 16502.

Almost surely, 2^33828282 is an apocalyptic number.

33828282 is an abundant number, since it is smaller than the sum of its proper divisors (40670298).

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

33828282 is a wasteful number, since it uses less digits than its factorization.

33828282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30878 (or 30875 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 33828282 is about 5816.2085588466. The cubic root of 33828282 is about 323.4148675475.

It can be divided in two parts, 3382 and 8282, that added together give a square (11664 = 108²).

The spelling of 33828282 in words is "thirty-three million, eight hundred twenty-eight thousand, two hundred eighty-two".