288007080 has 64 divisors (see below), whose sum is σ = 869581440. Its totient is φ = 76307712.

The previous prime is 288007079. The next prime is 288007087. The reversal of 288007080 is 80700882.

It is not an unprimeable number, because it can be changed into a prime (288007087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11197 + ... + 26483.

It is an arithmetic number, because the mean of its divisors is an integer number (13587210).

Almost surely, 2^288007080 is an apocalyptic number.

288007080 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 288007080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434790720).

288007080 is an abundant number, since it is smaller than the sum of its proper divisors (581574360).

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

288007080 is a wasteful number, since it uses less digits than its factorization.

288007080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15458 (or 15454 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 288007080 is about 16970.7713436956. The cubic root of 288007080 is about 660.3908612265.

The spelling of 288007080 in words is "two hundred eighty-eight million, seven thousand, eighty".