282768800 has 144 divisors (see below), whose sum is σ = 729375192. Its totient is φ = 106905600.

The previous prime is 282768767. The next prime is 282768847. The reversal of 282768800 is 8867282.

282768800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 394384 + 282374416 = 628^2 + 16804^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1213484 + ... + 1213716.

Almost surely, 2^282768800 is an apocalyptic number.

282768800 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 282768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364687596).

282768800 is an abundant number, since it is smaller than the sum of its proper divisors (446606392).

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

282768800 is a wasteful number, since it uses less digits than its factorization.

282768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 282768800 is about 16815.7307304797. The cubic root of 282768800 is about 656.3626044113.

The spelling of 282768800 in words is "two hundred eighty-two million, seven hundred sixty-eight thousand, eight hundred".