287641872 has 120 divisors (see below), whose sum is σ = 923482560. Its totient is φ = 81872640.

The previous prime is 287641831. The next prime is 287641891. The reversal of 287641872 is 278146782.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464379 + ... + 464997.

It is an arithmetic number, because the mean of its divisors is an integer number (7695688).

Almost surely, 2^287641872 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 287641872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461741280).

287641872 is an abundant number, since it is smaller than the sum of its proper divisors (635840688).

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

287641872 is a wasteful number, since it uses less digits than its factorization.

287641872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 287641872 is about 16960.0080188660. The cubic root of 287641872 is about 660.1116064706. Note that the first 3 decimals are identical.

The spelling of 287641872 in words is "two hundred eighty-seven million, six hundred forty-one thousand, eight hundred seventy-two".