288221560 has 64 divisors (see below), whose sum is σ = 709948800. Its totient is φ = 104438400.

The previous prime is 288221551. The next prime is 288221573. The reversal of 288221560 is 65122882.

288221560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144651 + ... + 146629.

It is an arithmetic number, because the mean of its divisors is an integer number (11092950).

Almost surely, 2^288221560 is an apocalyptic number.

288221560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288221560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354974400).

288221560 is an abundant number, since it is smaller than the sum of its proper divisors (421727240).

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

288221560 is a wasteful number, since it uses less digits than its factorization.

288221560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 288221560 is about 16977.0892675983. The cubic root of 288221560 is about 660.5547524363.

It can be divided in two parts, 2882 and 21560, that added together give a palindrome (24442).

The spelling of 288221560 in words is "two hundred eighty-eight million, two hundred twenty-one thousand, five hundred sixty".