33782828733 has 32 divisors (see below), whose sum is σ = 50262508800. Its totient is φ = 22425841728.

The previous prime is 33782828713. The next prime is 33782828771.

33782828733 is a `hidden beast` number, since 337 + 8 + 28 + 287 + 3 + 3 = 666.

33782828733 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33782828733 - 2⁸ = 33782828477 is a prime.

It is a super-2 number, since 2×33782828733² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33782828733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33782828713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7723135 + ... + 7727507.

It is an arithmetic number, because the mean of its divisors is an integer number (1570703400).

Almost surely, 2^33782828733 is an apocalyptic number.

It is an amenable number.

33782828733 is a deficient number, since it is larger than the sum of its proper divisors (16479680067).

33782828733 is a wasteful number, since it uses less digits than its factorization.

33782828733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5532 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 33782828733 in words is "thirty-three billion, seven hundred eighty-two million, eight hundred twenty-eight thousand, seven hundred thirty-three".