287107968 has 256 divisors, whose sum is σ = 947082240. Its totient is φ = 75202560.

The previous prime is 287107963. The next prime is 287107973. The reversal of 287107968 is 869701782.

It is an interprime number because it is at equal distance from previous prime (287107963) and next prime (287107973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287107963) 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, 2787405 + ... + 2787507.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2^287107968 is an apocalyptic number.

287107968 is a gapful number since it is divisible by the number (28) 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 287107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473541120).

287107968 is an abundant number, since it is smaller than the sum of its proper divisors (659974272).

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

287107968 is a wasteful number, since it uses less digits than its factorization.

287107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 287107968 is about 16944.2606212251. The cubic root of 287107968 is about 659.7029333440.

The spelling of 287107968 in words is "two hundred eighty-seven million, one hundred seven thousand, nine hundred sixty-eight".