288085320 has 48 divisors (see below), whose sum is σ = 936278460. Its totient is φ = 76822656.

The previous prime is 288085313. The next prime is 288085339. The reversal of 288085320 is 23580882.

It can be written as a sum of positive squares in 2 ways, for example, as 284866884 + 3218436 = 16878^2 + 1794^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399759 + ... + 400478.

Almost surely, 2^288085320 is an apocalyptic number.

288085320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288085320 is an abundant number, since it is smaller than the sum of its proper divisors (648193140).

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

288085320 is a wasteful number, since it uses less digits than its factorization.

288085320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800254 (or 800247 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 288085320 is about 16973.0763269361. The cubic root of 288085320 is about 660.4506564034.

The spelling of 288085320 in words is "two hundred eighty-eight million, eighty-five thousand, three hundred twenty".