287352 has 48 divisors (see below), whose sum is σ = 840840. Its totient is φ = 88128.

The previous prime is 287347. The next prime is 287383. The reversal of 287352 is 253782.

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 287352.

It is an unprimeable number.

287352 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 11 ways as a sum of consecutive naturals, for example, 783 + ... + 1089.

2²⁸⁷³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420420).

287352 is an abundant number, since it is smaller than the sum of its proper divisors (553488).

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

287352 is a wasteful number, since it uses less digits than its factorization.

287352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 287352 is about 536.0522362606. The cubic root of 287352 is about 65.9889788760.

The spelling of 287352 in words is "two hundred eighty-seven thousand, three hundred fifty-two".