8282600000 has 84 divisors (see below), whose sum is σ = 20543911668. Its totient is φ = 3312960000.

The previous prime is 8282599993. The next prime is 8282600003. The reversal of 8282600000 is 62828.

It can be written as a sum of positive squares in 6 ways, for example, as 5716569664 + 2566030336 = 75608^2 + 50656^2 .

It is not an unprimeable number, because it can be changed into a prime (8282600003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179294 + ... + 220706.

It is an arithmetic number, because the mean of its divisors is an integer number (244570377).

Almost surely, 2^8282600000 is an apocalyptic number.

8282600000 is a gapful number since it is divisible by the number (80) 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 8282600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10271955834).

8282600000 is an abundant number, since it is smaller than the sum of its proper divisors (12261311668).

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

8282600000 is an frugal number, since it uses more digits than its factorization.

8282600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41450 (or 41420 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8282600000 is about 91008.7907841874. The cubic root of 8282600000 is about 2023.2780158584.

Adding to 8282600000 its reverse (62828), we get a palindrome (8282662828).

The spelling of 8282600000 in words is "eight billion, two hundred eighty-two million, six hundred thousand".