288055872 has 112 divisors (see below), whose sum is σ = 912042880. Its totient is φ = 88625664.

The previous prime is 288055853. The next prime is 288055879. The reversal of 288055872 is 278550882.

288055872 is a `hidden beast` number, since 28 + 8 + 0 + 558 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (288055879) 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, 16053 + ... + 28875.

It is an arithmetic number, because the mean of its divisors is an integer number (8143240).

Almost surely, 2^288055872 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 288055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456021440).

288055872 is an abundant number, since it is smaller than the sum of its proper divisors (623987008).

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

288055872 is a wasteful number, since it uses less digits than its factorization.

288055872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12857 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 288055872 is about 16972.2088132335. The cubic root of 288055872 is about 660.4281519434.

The spelling of 288055872 in words is "two hundred eighty-eight million, fifty-five thousand, eight hundred seventy-two".