288118480 has 160 divisors (see below), whose sum is σ = 767763360. Its totient is φ = 99778560.

The previous prime is 288118471. The next prime is 288118483. The reversal of 288118480 is 84811882.

It can be written as a sum of positive squares in 16 ways, for example, as 225961024 + 62157456 = 15032^2 + 7884^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288118483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236444 + ... + 1236676.

It is an arithmetic number, because the mean of its divisors is an integer number (4798521).

Almost surely, 2^288118480 is an apocalyptic number.

288118480 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 288118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

288118480 is an abundant number, since it is smaller than the sum of its proper divisors (479644880).

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

288118480 is a wasteful number, since it uses less digits than its factorization.

288118480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 288118480 is about 16974.0531400134. The cubic root of 288118480 is about 660.4759957757.

The spelling of 288118480 in words is "two hundred eighty-eight million, one hundred eighteen thousand, four hundred eighty".