83828135028 has 96 divisors (see below), whose sum is σ = 221104300032. Its totient is φ = 24489244800.

The previous prime is 83828135021. The next prime is 83828135051. The reversal of 83828135028 is 82053182838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83828135021) 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 31 ways as a sum of consecutive naturals, for example, 1037250 + ... + 1115142.

It is an arithmetic number, because the mean of its divisors is an integer number (2303169792).

Almost surely, 2^83828135028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83828135028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110552150016).

83828135028 is an abundant number, since it is smaller than the sum of its proper divisors (137276165004).

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

83828135028 is a wasteful number, since it uses less digits than its factorization.

83828135028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78205 (or 78203 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 83828135028 in words is "eighty-three billion, eight hundred twenty-eight million, one hundred thirty-five thousand, twenty-eight".