287695872 has 264 divisors, whose sum is σ = 919676160. Its totient is φ = 86261760.

The previous prime is 287695871. The next prime is 287695901. The reversal of 287695872 is 278596782.

It is a happy number.

Its product of digits (3386880) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (287695871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5428198 + ... + 5428250.

Almost surely, 2^287695872 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 287695872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459838080).

287695872 is an abundant number, since it is smaller than the sum of its proper divisors (631980288).

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

287695872 is a wasteful number, since it uses less digits than its factorization.

287695872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 287695872 is about 16961.5999245354. The cubic root of 287695872 is about 660.1529122282.

The spelling of 287695872 in words is "two hundred eighty-seven million, six hundred ninety-five thousand, eight hundred seventy-two".