288803112 has 128 divisors (see below), whose sum is σ = 819504000. Its totient is φ = 84188160.

The previous prime is 288803107. The next prime is 288803113. The reversal of 288803112 is 211308882.

It is not an unprimeable number, because it can be changed into a prime (288803113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533562 + ... + 534102.

It is an arithmetic number, because the mean of its divisors is an integer number (6402375).

Almost surely, 2^288803112 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 288803112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409752000).

288803112 is an abundant number, since it is smaller than the sum of its proper divisors (530700888).

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

288803112 is a wasteful number, since it uses less digits than its factorization.

288803112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 288803112 is about 16994.2081898510. The cubic root of 288803112 is about 660.9987266934.

The spelling of 288803112 in words is "two hundred eighty-eight million, eight hundred three thousand, one hundred twelve".