288330080 has 48 divisors (see below), whose sum is σ = 684319104. Its totient is φ = 114800640.

The previous prime is 288330079. The next prime is 288330089. The reversal of 288330080 is 80033882.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288330089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31640 + ... + 39720.

It is an arithmetic number, because the mean of its divisors is an integer number (14256648).

Almost surely, 2^288330080 is an apocalyptic number.

288330080 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 288330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342159552).

288330080 is an abundant number, since it is smaller than the sum of its proper divisors (395989024).

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

288330080 is a wasteful number, since it uses less digits than its factorization.

288330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8319 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 288330080 is about 16980.2850388325. The cubic root of 288330080 is about 660.6376451560.

The spelling of 288330080 in words is "two hundred eighty-eight million, three hundred thirty thousand, eighty".