287793216 has 112 divisors (see below), whose sum is σ = 875385600. Its totient is φ = 92606976.

The previous prime is 287793211. The next prime is 287793217. The reversal of 287793216 is 612397782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287793211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47241 + ... + 52983.

Almost surely, 2^287793216 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 287793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437692800).

287793216 is an abundant number, since it is smaller than the sum of its proper divisors (587592384).

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

287793216 is a wasteful number, since it uses less digits than its factorization.

287793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5777 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 287793216 is about 16964.4692224661. The cubic root of 287793216 is about 660.2273596857.

The spelling of 287793216 in words is "two hundred eighty-seven million, seven hundred ninety-three thousand, two hundred sixteen".