288965820 has 96 divisors (see below), whose sum is σ = 950584320. Its totient is φ = 64661760.

The previous prime is 288965797. The next prime is 288965837. The reversal of 288965820 is 28569882.

It is a self number, because there is not a number n which added to its sum of digits gives 288965820.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8260 + ... + 25419.

It is an arithmetic number, because the mean of its divisors is an integer number (9901920).

Almost surely, 2^288965820 is an apocalyptic number.

288965820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288965820 is an abundant number, since it is smaller than the sum of its proper divisors (661618500).

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

288965820 is a wasteful number, since it uses less digits than its factorization.

288965820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33715 (or 33713 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 288965820 is about 16998.9946761566. The cubic root of 288965820 is about 661.1228361475.

It can be divided in two parts, 28896 and 5820, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 288965820 in words is "two hundred eighty-eight million, nine hundred sixty-five thousand, eight hundred twenty".