287311968 has 192 divisors, whose sum is σ = 917360640. Its totient is φ = 87091200.

The previous prime is 287311967. The next prime is 287312009. The reversal of 287311968 is 869113782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287311967) 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, 455013 + ... + 455643.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 2^287311968 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 287311968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458680320).

287311968 is an abundant number, since it is smaller than the sum of its proper divisors (630048672).

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

287311968 is a wasteful number, since it uses less digits than its factorization.

287311968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 287311968 is about 16950.2792897344. The cubic root of 287311968 is about 659.8591434944.

It can be divided in two parts, 2873 and 11968, that added together give a palindrome (14841).

The spelling of 287311968 in words is "two hundred eighty-seven million, three hundred eleven thousand, nine hundred sixty-eight".