82434757128 has 128 divisors (see below), whose sum is σ = 217509494400. Its totient is φ = 25994981376.

The previous prime is 82434757123. The next prime is 82434757169. The reversal of 82434757128 is 82175743428.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82434757123) 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, 47842875 + ... + 47844597.

It is an arithmetic number, because the mean of its divisors is an integer number (1699292925).

Almost surely, 2^82434757128 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 82434757128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108754747200).

82434757128 is an abundant number, since it is smaller than the sum of its proper divisors (135074737272).

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

82434757128 is a wasteful number, since it uses less digits than its factorization.

82434757128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3107 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 51.

The spelling of 82434757128 in words is "eighty-two billion, four hundred thirty-four million, seven hundred fifty-seven thousand, one hundred twenty-eight".