288273216 has 448 divisors, whose sum is σ = 1067433984. Its totient is φ = 66355200.

The previous prime is 288273157. The next prime is 288273221. The reversal of 288273216 is 612372882.

288273216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7791150 + ... + 7791186.

Almost surely, 2^288273216 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 288273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533716992).

288273216 is an abundant number, since it is smaller than the sum of its proper divisors (779160768).

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

288273216 is a wasteful number, since it uses less digits than its factorization.

288273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 288273216 is about 16978.6105438578. The cubic root of 288273216 is about 660.5942123319.

The spelling of 288273216 in words is "two hundred eighty-eight million, two hundred seventy-three thousand, two hundred sixteen".