288381300 has 72 divisors (see below), whose sum is σ = 842133600. Its totient is φ = 76187520.

The previous prime is 288381299. The next prime is 288381389. The reversal of 288381300 is 3183882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28291 + ... + 37109.

It is an arithmetic number, because the mean of its divisors is an integer number (11696300).

Almost surely, 2^288381300 is an apocalyptic number.

288381300 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 288381300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421066800).

288381300 is an abundant number, since it is smaller than the sum of its proper divisors (553752300).

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

288381300 is a wasteful number, since it uses less digits than its factorization.

288381300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 288381300 is about 16981.7931915331. The cubic root of 288381300 is about 660.6767621947.

The spelling of 288381300 in words is "two hundred eighty-eight million, three hundred eighty-one thousand, three hundred".