288567920 has 20 divisors (see below), whose sum is σ = 670920600. Its totient is φ = 115427136.

The previous prime is 288567907. The next prime is 288567931. The reversal of 288567920 is 29765882.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1803470 + ... + 1803629.

It is an arithmetic number, because the mean of its divisors is an integer number (33546030).

Almost surely, 2^288567920 is an apocalyptic number.

288567920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288567920 is an abundant number, since it is smaller than the sum of its proper divisors (382352680).

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

288567920 is a wasteful number, since it uses less digits than its factorization.

288567920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607112 (or 3607106 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 288567920 is about 16987.2870111740. The cubic root of 288567920 is about 660.8192459028.

The spelling of 288567920 in words is "two hundred eighty-eight million, five hundred sixty-seven thousand, nine hundred twenty".