282148384 has 96 divisors (see below), whose sum is σ = 664191360. Its totient is φ = 115458048.

The previous prime is 282148333. The next prime is 282148387. The reversal of 282148384 is 483841282.

It is a super-2 number, since 2×282148384² = 159215421187622912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (282148387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488704 + ... + 489280.

It is an arithmetic number, because the mean of its divisors is an integer number (6918660).

Almost surely, 2^282148384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282148384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332095680).

282148384 is an abundant number, since it is smaller than the sum of its proper divisors (382042976).

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

282148384 is a wasteful number, since it uses less digits than its factorization.

282148384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The square root of 282148384 is about 16797.2731120262. The cubic root of 282148384 is about 655.8822166088.

It can be divided in two parts, 28 and 2148384, that added together give a palindrome (2148412).

The spelling of 282148384 in words is "two hundred eighty-two million, one hundred forty-eight thousand, three hundred eighty-four".