287280 has 160 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 62208.

The previous prime is 287279. The next prime is 287281. The reversal of 287280 is 82782.

It is an interprime number because it is at equal distance from previous prime (287279) and next prime (287281).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15111 + ... + 15129.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

287280 is a Friedman number, since it can be written as 70*(8+8^(2+2)), using all its digits and the basic arithmetic operations.

2²⁸⁷²⁸⁰ is an apocalyptic number.

287280 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 287280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

287280 is an abundant number, since it is smaller than the sum of its proper divisors (903120).

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

287280 is a wasteful number, since it uses less digits than its factorization.

287280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 287280 is about 535.9850744191. The cubic root of 287280 is about 65.9834669332.

The spelling of 287280 in words is "two hundred eighty-seven thousand, two hundred eighty".