82536247728 has 160 divisors (see below), whose sum is σ = 258590949120. Its totient is φ = 24997040640.

The previous prime is 82536247723. The next prime is 82536247751. The reversal of 82536247728 is 82774263528.

82536247728 is a `hidden beast` number, since 8 + 2 + 5 + 3 + 624 + 7 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82536247721) 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, 11291851 + ... + 11299157.

It is an arithmetic number, because the mean of its divisors is an integer number (1616193432).

Almost surely, 2^82536247728 is an apocalyptic number.

82536247728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82536247728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129295474560).

82536247728 is an abundant number, since it is smaller than the sum of its proper divisors (176054701392).

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

82536247728 is a wasteful number, since it uses less digits than its factorization.

82536247728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9712 (or 9700 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 82536247728 in words is "eighty-two billion, five hundred thirty-six million, two hundred forty-seven thousand, seven hundred twenty-eight".