282852000000 has 882 divisors, whose sum is σ = 1069034245874. Its totient is φ = 74649600000.

The previous prime is 282851999999. The next prime is 282852000001. The reversal of 282852000000 is 258282.

It is an interprime number because it is at equal distance from previous prime (282851999999) and next prime (282852000001).

It can be written as a sum of positive squares in 7 ways, for example, as 281884541184 + 967458816 = 530928^2 + 31104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (282852000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 97 ways as a sum of consecutive naturals, for example, 2915999952 + ... + 2916000048.

Almost surely, 2^282852000000 is an apocalyptic number.

282852000000 is a gapful number since it is divisible by the number (20) 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 282852000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534517122937).

282852000000 is an abundant number, since it is smaller than the sum of its proper divisors (786182245874).

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

282852000000 is an frugal number, since it uses more digits than its factorization.

282852000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 282852000000 its reverse (258282), we get a palindrome (282852258282).

The spelling of 282852000000 in words is "two hundred eighty-two billion, eight hundred fifty-two million", and thus it is an aban number.