8282000000 has 224 divisors, whose sum is σ = 21336055020. Its totient is φ = 3200000000.

The previous prime is 8281999987. The next prime is 8282000029. The reversal of 8282000000 is 2828.

It can be written as a sum of positive squares in 14 ways, for example, as 7195110976 + 1086889024 = 84824^2 + 32968^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81999950 + ... + 82000050.

Almost surely, 2^8282000000 is an apocalyptic number.

8282000000 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 8282000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668027510).

8282000000 is an abundant number, since it is smaller than the sum of its proper divisors (13054055020).

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

8282000000 is an frugal number, since it uses more digits than its factorization.

8282000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8282000000 is about 91005.4943396276. The cubic root of 8282000000 is about 2023.2291585702.

Adding to 8282000000 its reverse (2828), we get a palindrome (8282002828).

It can be divided in two parts, 82 and 82000000, that multiplied together give a square (6724000000 = 82000²).

The spelling of 8282000000 in words is "eight billion, two hundred eighty-two million", and thus it is an aban number.