33828629733 has 12 divisors (see below), whose sum is σ = 48865219468. Its totient is φ = 22551661440.

The previous prime is 33828629729. The next prime is 33828629741. The reversal of 33828629733 is 33792682833.

It is a happy number.

33828629733 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 8 + 629 + 7 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24180872004 + 9647757729 = 155502^2 + 98223^2 .

It is not a de Polignac number, because 33828629733 - 2² = 33828629729 is a prime.

It is a super-2 number, since 2×33828629733² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33828629733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828629773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391443 + ... + 469983.

Almost surely, 2^33828629733 is an apocalyptic number.

It is an amenable number.

33828629733 is a deficient number, since it is larger than the sum of its proper divisors (15036589735).

33828629733 is a wasteful number, since it uses less digits than its factorization.

33828629733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126404 (or 126401 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 33828629733 in words is "thirty-three billion, eight hundred twenty-eight million, six hundred twenty-nine thousand, seven hundred thirty-three".