287448 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 77952.

The previous prime is 287437. The next prime is 287449. The reversal of 287448 is 844782.

It is a nude number because it is divisible by every one of its digits.

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 287448.

It is not an unprimeable number, because it can be changed into a prime (287449) by changing a digit.

287448 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, 4843 + ... + 4901.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2²⁸⁷⁴⁴⁸ is an apocalyptic number.

287448 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 287448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

287448 is an abundant number, since it is smaller than the sum of its proper divisors (576552).

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

287448 is a wasteful number, since it uses less digits than its factorization.

287448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 287448 is about 536.1417722954. The cubic root of 287448 is about 65.9963267010.

The spelling of 287448 in words is "two hundred eighty-seven thousand, four hundred forty-eight".