288750560 has 96 divisors (see below), whose sum is σ = 783240192. Its totient is φ = 98542080.

The previous prime is 288750557. The next prime is 288750571. The reversal of 288750560 is 65057882.

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, 316505 + ... + 317415.

It is an arithmetic number, because the mean of its divisors is an integer number (8158752).

Almost surely, 2^288750560 is an apocalyptic number.

288750560 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 288750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391620096).

288750560 is an abundant number, since it is smaller than the sum of its proper divisors (494489632).

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

288750560 is a wasteful number, since it uses less digits than its factorization.

288750560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 288750560 is about 16992.6619456753. The cubic root of 288750560 is about 660.9586314280.

The spelling of 288750560 in words is "two hundred eighty-eight million, seven hundred fifty thousand, five hundred sixty".