287862960 has 320 divisors, whose sum is σ = 1145355264. Its totient is φ = 58060800.

The previous prime is 287862959. The next prime is 287862979. The reversal of 287862960 is 69268782.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683550 + ... + 683970.

Almost surely, 2^287862960 is an apocalyptic number.

287862960 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 287862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572677632).

287862960 is an abundant number, since it is smaller than the sum of its proper divisors (857492304).

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

287862960 is a wasteful number, since it uses less digits than its factorization.

287862960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 287862960 is about 16966.5246883385. The cubic root of 287862960 is about 660.2806886909.

The spelling of 287862960 in words is "two hundred eighty-seven million, eight hundred sixty-two thousand, nine hundred sixty".