288361140 has 48 divisors (see below), whose sum is σ = 854908992. Its totient is φ = 72372736.

The previous prime is 288361069. The next prime is 288361141. The reversal of 288361140 is 41163882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288361141) 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, 140334 + ... + 142373.

It is an arithmetic number, because the mean of its divisors is an integer number (17810604).

Almost surely, 2^288361140 is an apocalyptic number.

288361140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288361140 is an abundant number, since it is smaller than the sum of its proper divisors (566547852).

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

288361140 is a wasteful number, since it uses less digits than its factorization.

288361140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282736 (or 282734 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 288361140 is about 16981.1996042682. The cubic root of 288361140 is about 660.6613664277.

The spelling of 288361140 in words is "two hundred eighty-eight million, three hundred sixty-one thousand, one hundred forty".