288388080 has 160 divisors (see below), whose sum is σ = 1045766400. Its totient is φ = 72845568.

The previous prime is 288388069. The next prime is 288388097. The reversal of 288388080 is 80883882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37527 + ... + 44553.

It is an arithmetic number, because the mean of its divisors is an integer number (6536040).

Almost surely, 2^288388080 is an apocalyptic number.

288388080 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 288388080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522883200).

288388080 is an abundant number, since it is smaller than the sum of its proper divisors (757378320).

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

288388080 is a wasteful number, since it uses less digits than its factorization.

288388080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7056 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 288388080 is about 16981.9928159212. The cubic root of 288388080 is about 660.6819397765.

The spelling of 288388080 in words is "two hundred eighty-eight million, three hundred eighty-eight thousand, eighty".