288965005 has 48 divisors (see below), whose sum is σ = 419198976. Its totient is φ = 190512000.

The previous prime is 288964999. The next prime is 288965057. The reversal of 288965005 is 500569882.

It is not a de Polignac number, because 288965005 - 2⁹ = 288964493 is a prime.

It is a super-2 number, since 2×288965005² = 167001548229300050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151130 + ... + 1151380.

It is an arithmetic number, because the mean of its divisors is an integer number (8733312).

Almost surely, 2^288965005 is an apocalyptic number.

It is an amenable number.

288965005 is a deficient number, since it is larger than the sum of its proper divisors (130233971).

288965005 is a wasteful number, since it uses less digits than its factorization.

288965005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 288965005 is about 16998.9707041338. The cubic root of 288965005 is about 661.1222146027.

The spelling of 288965005 in words is "two hundred eighty-eight million, nine hundred sixty-five thousand, five".