288138288 has 20 divisors (see below), whose sum is σ = 744357368. Its totient is φ = 96046080.

The previous prime is 288138259. The next prime is 288138337. The reversal of 288138288 is 882831882.

It is a happy number.

288138288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 6002881 = 288138288 / (2 + 8 + 8 + 1 + 3 + 8 + 2 + 8 + 8).

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 3 ways as a sum of consecutive naturals, for example, 3001393 + ... + 3001488.

Almost surely, 2^288138288 is an apocalyptic number.

It is an amenable number.

288138288 is an abundant number, since it is smaller than the sum of its proper divisors (456219080).

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

288138288 is a wasteful number, since it uses less digits than its factorization.

288138288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002892 (or 6002886 counting only the distinct ones).

The product of its digits is 393216, while the sum is 48.

The square root of 288138288 is about 16974.6366087760. The cubic root of 288138288 is about 660.4911312259.

The spelling of 288138288 in words is "two hundred eighty-eight million, one hundred thirty-eight thousand, two hundred eighty-eight".