287280960 has 224 divisors, whose sum is σ = 1000719360. Its totient is φ = 69500928.

The previous prime is 287280947. The next prime is 287280997. The reversal of 287280960 is 69082782.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472977 + ... + 473583.

Almost surely, 2^287280960 is an apocalyptic number.

287280960 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 287280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500359680).

287280960 is an abundant number, since it is smaller than the sum of its proper divisors (713438400).

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

287280960 is a wasteful number, since it uses less digits than its factorization.

287280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 287280960 is about 16949.3645898600. The cubic root of 287280960 is about 659.8354043180.

The spelling of 287280960 in words is "two hundred eighty-seven million, two hundred eighty thousand, nine hundred sixty".