288813312 has 54 divisors (see below), whose sum is σ = 832726622. Its totient is φ = 96270336.

The previous prime is 288813299. The next prime is 288813313. The reversal of 288813312 is 213318882.

It can be written as a sum of positive squares in only one way, i.e., 253956096 + 34857216 = 15936^2 + 5904^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288813313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60373 + ... + 64980.

Almost surely, 2^288813312 is an apocalyptic number.

It is an amenable number.

288813312 is an abundant number, since it is smaller than the sum of its proper divisors (543913310).

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

288813312 is a wasteful number, since it uses less digits than its factorization.

288813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125375 (or 125358 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 288813312 is about 16994.5082894446. The cubic root of 288813312 is about 661.0065083589.

The spelling of 288813312 in words is "two hundred eighty-eight million, eight hundred thirteen thousand, three hundred twelve".