288275904 has 336 divisors, whose sum is σ = 1027054080. Its totient is φ = 75479040.

The previous prime is 288275873. The next prime is 288275909. The reversal of 288275904 is 409572882.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 288275904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288275909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4060189 + ... + 4060259.

Almost surely, 2^288275904 is an apocalyptic number.

288275904 is a gapful number since it is divisible by the number (24) 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 288275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513527040).

288275904 is an abundant number, since it is smaller than the sum of its proper divisors (738778176).

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

288275904 is a wasteful number, since it uses less digits than its factorization.

288275904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 288275904 is about 16978.6897020942. The cubic root of 288275904 is about 660.5962655597.

The spelling of 288275904 in words is "two hundred eighty-eight million, two hundred seventy-five thousand, nine hundred four".