287427168 has 72 divisors (see below), whose sum is σ = 934144848. Its totient is φ = 82121472.

The previous prime is 287427163. The next prime is 287427187. The reversal of 287427168 is 861724782.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×287427168⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287427163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69271 + ... + 73302.

It is an arithmetic number, because the mean of its divisors is an integer number (12974234).

Almost surely, 2^287427168 is an apocalyptic number.

287427168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

287427168 is an abundant number, since it is smaller than the sum of its proper divisors (646717680).

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

287427168 is a wasteful number, since it uses less digits than its factorization.

287427168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142596 (or 142585 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 287427168 is about 16953.6771232674. The cubic root of 287427168 is about 659.9473236196.

The spelling of 287427168 in words is "two hundred eighty-seven million, four hundred twenty-seven thousand, one hundred sixty-eight".