82044832128 has 256 divisors, whose sum is σ = 261329940480. Its totient is φ = 22311936000.

The previous prime is 82044832127. The next prime is 82044832151. The reversal of 82044832128 is 82123844028.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 82044832128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82044832127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5074938 + ... + 5091078.

It is an arithmetic number, because the mean of its divisors is an integer number (1020820080).

Almost surely, 2^82044832128 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 82044832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130664970240).

82044832128 is an abundant number, since it is smaller than the sum of its proper divisors (179285108352).

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

82044832128 is a wasteful number, since it uses less digits than its factorization.

82044832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16257 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 82044832128 in words is "eighty-two billion, forty-four million, eight hundred thirty-two thousand, one hundred twenty-eight".