288709920 has 120 divisors (see below), whose sum is σ = 1018951164. Its totient is φ = 76985856.

The previous prime is 288709919. The next prime is 288709933. The reversal of 288709920 is 29907882.

It can be written as a sum of positive squares in 2 ways, for example, as 285069456 + 3640464 = 16884^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1822 + ... + 24098.

Almost surely, 2^288709920 is an apocalyptic number.

288709920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509475582).

288709920 is an abundant number, since it is smaller than the sum of its proper divisors (730241244).

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

288709920 is a wasteful number, since it uses less digits than its factorization.

288709920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22304 (or 22287 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 288709920 is about 16991.4660933070. The cubic root of 288709920 is about 660.9276212497.

The spelling of 288709920 in words is "two hundred eighty-eight million, seven hundred nine thousand, nine hundred twenty".