8282400000 has 864 divisors, whose sum is σ = 34490292480. Its totient is φ = 1720320000.

The previous prime is 8282399977. The next prime is 8282400001. The reversal of 8282400000 is 42828.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285599986 + ... + 285600014.

It is an arithmetic number, because the mean of its divisors is an integer number (39919320).

Almost surely, 2^8282400000 is an apocalyptic number.

8282400000 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 8282400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245146240).

8282400000 is an abundant number, since it is smaller than the sum of its proper divisors (26207892480).

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

8282400000 is an equidigital number, since it uses as much as digits as its factorization.

8282400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8282400000 is about 91007.6919826011. The cubic root of 8282400000 is about 2023.2617303578.

Adding to 8282400000 its reverse (42828), we get a palindrome (8282442828).

The spelling of 8282400000 in words is "eight billion, two hundred eighty-two million, four hundred thousand".