287949312 has 240 divisors, whose sum is σ = 970295040. Its totient is φ = 80510976.

The previous prime is 287949289. The next prime is 287949353. The reversal of 287949312 is 213949782.

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, 2548168 + ... + 2548280.

It is an arithmetic number, because the mean of its divisors is an integer number (4042896).

Almost surely, 2^287949312 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 287949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485147520).

287949312 is an abundant number, since it is smaller than the sum of its proper divisors (682345728).

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

287949312 is a wasteful number, since it uses less digits than its factorization.

287949312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 287949312 is about 16969.0692732395. The cubic root of 287949312 is about 660.3467048927.

The spelling of 287949312 in words is "two hundred eighty-seven million, nine hundred forty-nine thousand, three hundred twelve".