82889174328 has 96 divisors (see below), whose sum is σ = 221865216000. Its totient is φ = 25799413248.

The previous prime is 82889174321. The next prime is 82889174353. The reversal of 82889174328 is 82347198828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82889174321) 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 23 ways as a sum of consecutive naturals, for example, 833823 + ... + 927921.

It is an arithmetic number, because the mean of its divisors is an integer number (2311096000).

Almost surely, 2^82889174328 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 82889174328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110932608000).

82889174328 is an abundant number, since it is smaller than the sum of its proper divisors (138976041672).

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

82889174328 is a wasteful number, since it uses less digits than its factorization.

82889174328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94269 (or 94248 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The spelling of 82889174328 in words is "eighty-two billion, eight hundred eighty-nine million, one hundred seventy-four thousand, three hundred twenty-eight".