282861360 has 480 divisors, whose sum is σ = 1114214400. Its totient is φ = 63866880.

The previous prime is 282861347. The next prime is 282861407. The reversal of 282861360 is 63168282.

282861360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 9124545 + ... + 9124575.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 2^282861360 is an apocalyptic number.

282861360 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 282861360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557107200).

282861360 is an abundant number, since it is smaller than the sum of its proper divisors (831353040).

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

282861360 is a wasteful number, since it uses less digits than its factorization.

282861360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 282861360 is about 16818.4826901834. The cubic root of 282861360 is about 656.4342133194.

It can be divided in two parts, 28286 and 1360, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 282861360 in words is "two hundred eighty-two million, eight hundred sixty-one thousand, three hundred sixty".