82706230728 has 288 divisors, whose sum is σ = 263449804800. Its totient is φ = 23351328000.

The previous prime is 82706230723. The next prime is 82706230751. The reversal of 82706230728 is 82703260728.

It is not an unprimeable number, because it can be changed into a prime (82706230723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10093113 + ... + 10101303.

Almost surely, 2^82706230728 is an apocalyptic number.

82706230728 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 82706230728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131724902400).

82706230728 is an abundant number, since it is smaller than the sum of its proper divisors (180743574072).

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

82706230728 is a wasteful number, since it uses less digits than its factorization.

82706230728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 82706230728 in words is "eighty-two billion, seven hundred six million, two hundred thirty thousand, seven hundred twenty-eight".