288334080 has 288 divisors, whose sum is σ = 1045873920. Its totient is φ = 76142592.

The previous prime is 288334073. The next prime is 288334097. The reversal of 288334080 is 80433882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799309 + ... + 2799411.

Almost surely, 2^288334080 is an apocalyptic number.

288334080 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 288334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522936960).

288334080 is an abundant number, since it is smaller than the sum of its proper divisors (757539840).

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

288334080 is an frugal number, since it uses more digits than its factorization.

288334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 288334080 is about 16980.4028220770. The cubic root of 288334080 is about 660.6407001481.

It can be divided in two parts, 2883 and 34080, that added together give a palindrome (36963).

The spelling of 288334080 in words is "two hundred eighty-eight million, three hundred thirty-four thousand, eighty".