286748 has 48 divisors (see below), whose sum is σ = 672000. Its totient is φ = 105840.

The previous prime is 286733. The next prime is 286751. The reversal of 286748 is 847682.

286748 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286748.

It is an unprimeable number.

286748 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15083 + ... + 15101.

It is an arithmetic number, because the mean of its divisors is an integer number (14000).

2²⁸⁶⁷⁴⁸ is an apocalyptic number.

286748 is a gapful number since it is divisible by the number (28) 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 286748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336000).

286748 is an abundant number, since it is smaller than the sum of its proper divisors (385252).

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

286748 is a wasteful number, since it uses less digits than its factorization.

286748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 286748 is about 535.4885619693. The cubic root of 286748 is about 65.9427112298.

It can be divided in two parts, 28674 and 8, that added together give a palindrome (28682).

The spelling of 286748 in words is "two hundred eighty-six thousand, seven hundred forty-eight".