287842368 has 112 divisors (see below), whose sum is σ = 879799104. Its totient is φ = 82083840.

The previous prime is 287842363. The next prime is 287842393. The reversal of 287842368 is 863248782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (287842363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31896 + ... + 39912.

Almost surely, 2^287842368 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 287842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439899552).

287842368 is an abundant number, since it is smaller than the sum of its proper divisors (591956736).

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

287842368 is a wasteful number, since it uses less digits than its factorization.

287842368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 8050 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 287842368 is about 16965.9178354724. The cubic root of 287842368 is about 660.2649441342.

The spelling of 287842368 in words is "two hundred eighty-seven million, eight hundred forty-two thousand, three hundred sixty-eight".