288772752 has 20 divisors (see below), whose sum is σ = 745996400. Its totient is φ = 96257568.

The previous prime is 288772669. The next prime is 288772763. The reversal of 288772752 is 257277882.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 6016099 = 288772752 / (2 + 8 + 8 + 7 + 7 + 2 + 7 + 5 + 2).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3008002 + ... + 3008097.

It is an arithmetic number, because the mean of its divisors is an integer number (37299820).

Almost surely, 2^288772752 is an apocalyptic number.

It is an amenable number.

288772752 is an abundant number, since it is smaller than the sum of its proper divisors (457223648).

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

288772752 is a wasteful number, since it uses less digits than its factorization.

288772752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016110 (or 6016104 counting only the distinct ones).

The product of its digits is 878080, while the sum is 48.

The square root of 288772752 is about 16993.3149208740. The cubic root of 288772752 is about 660.9755637105.

The spelling of 288772752 in words is "two hundred eighty-eight million, seven hundred seventy-two thousand, seven hundred fifty-two".