33828486912 has 162 divisors, whose sum is σ = 107209729536. Its totient is φ = 10250972160.

The previous prime is 33828486911. The next prime is 33828487061. The reversal of 33828486912 is 21968482833.

It is a super-2 number, since 2×33828486912² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828486911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 218113 + ... + 339455.

Almost surely, 2^33828486912 is an apocalyptic number.

33828486912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33828486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53604864768).

33828486912 is an abundant number, since it is smaller than the sum of its proper divisors (73381242624).

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

33828486912 is a wasteful number, since it uses less digits than its factorization.

33828486912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121387 (or 121359 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 33828486912 in words is "thirty-three billion, eight hundred twenty-eight million, four hundred eighty-six thousand, nine hundred twelve".