82362724128 has 192 divisors, whose sum is σ = 244203724800. Its totient is φ = 27001416960.

The previous prime is 82362724121. The next prime is 82362724187. The reversal of 82362724128 is 82142726328.

82362724128 is a `hidden beast` number, since 8 + 2 + 3 + 627 + 2 + 4 + 12 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82362724121) 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, 29382375 + ... + 29385177.

It is an arithmetic number, because the mean of its divisors is an integer number (1271894400).

Almost surely, 2^82362724128 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 82362724128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122101862400).

82362724128 is an abundant number, since it is smaller than the sum of its proper divisors (161841000672).

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

82362724128 is a wasteful number, since it uses less digits than its factorization.

82362724128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3358 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 82362724128 in words is "eighty-two billion, three hundred sixty-two million, seven hundred twenty-four thousand, one hundred twenty-eight".