287433216 has 360 divisors, whose sum is σ = 1030938480. Its totient is φ = 76640256.

The previous prime is 287433203. The next prime is 287433253. The reversal of 287433216 is 612334782.

It is a happy number.

287433216 is a `hidden beast` number, since 2 + 8 + 7 + 433 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 4290015 + ... + 4290081.

It is an arithmetic number, because the mean of its divisors is an integer number (2863718).

Almost surely, 2^287433216 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 287433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515469240).

287433216 is an abundant number, since it is smaller than the sum of its proper divisors (743505264).

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

287433216 is a wasteful number, since it uses less digits than its factorization.

287433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 287433216 is about 16953.8554907136. The cubic root of 287433216 is about 659.9519524251.

Adding to 287433216 its reverse (612334782), we get a palindrome (899767998).

The spelling of 287433216 in words is "two hundred eighty-seven million, four hundred thirty-three thousand, two hundred sixteen".