288346880 has 72 divisors (see below), whose sum is σ = 705523392. Its totient is φ = 112861184.

The previous prime is 288346879. The next prime is 288346901. The reversal of 288346880 is 88643882.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57764 + ... + 62556.

It is an arithmetic number, because the mean of its divisors is an integer number (9798936).

Almost surely, 2^288346880 is an apocalyptic number.

288346880 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 288346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352761696).

288346880 is an abundant number, since it is smaller than the sum of its proper divisors (417176512).

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

288346880 is an equidigital number, since it uses as much as digits as its factorization.

288346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The square root of 288346880 is about 16980.7797229691. The cubic root of 288346880 is about 660.6504759330.

The spelling of 288346880 in words is "two hundred eighty-eight million, three hundred forty-six thousand, eight hundred eighty".