288009813 has 32 divisors (see below), whose sum is σ = 485422336. Its totient is φ = 147806208.

The previous prime is 288009811. The next prime is 288009823. The reversal of 288009813 is 318900882.

It is not a de Polignac number, because 288009813 - 2¹ = 288009811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288009811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4156 + ... + 24357.

It is an arithmetic number, because the mean of its divisors is an integer number (15169448).

Almost surely, 2^288009813 is an apocalyptic number.

It is an amenable number.

288009813 is a deficient number, since it is larger than the sum of its proper divisors (197412523).

288009813 is a wasteful number, since it uses less digits than its factorization.

288009813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28573.

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 288009813 is about 16970.8518642996. The cubic root of 288009813 is about 660.3929501132.

The spelling of 288009813 in words is "two hundred eighty-eight million, nine thousand, eight hundred thirteen".