287748 has 18 divisors (see below), whose sum is σ = 727454. Its totient is φ = 95904.

The previous prime is 287747. The next prime is 287783. The reversal of 287748 is 847782.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 101124 = 432^2 + 318^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7993 = 287748 / (2 + 8 + 7 + 7 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (287747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3961 + ... + 4032.

2²⁸⁷⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

287748 is an abundant number, since it is smaller than the sum of its proper divisors (439706).

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

287748 is a wasteful number, since it uses less digits than its factorization.

287748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 7998 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 287748 is about 536.4214760801. The cubic root of 287748 is about 66.0192781150.

It can be divided in two parts, 28774 and 8, that added together give a palindrome (28782).

The spelling of 287748 in words is "two hundred eighty-seven thousand, seven hundred forty-eight".