288764352 has 140 divisors (see below), whose sum is σ = 872968536. Its totient is φ = 94348800.

The previous prime is 288764351. The next prime is 288764383. The reversal of 288764352 is 253467882.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 288764298 and 288764307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288764351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274227 + ... + 275277.

Almost surely, 2^288764352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288764352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436484268).

288764352 is an abundant number, since it is smaller than the sum of its proper divisors (584204184).

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

288764352 is a wasteful number, since it uses less digits than its factorization.

288764352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 288764352 is about 16993.0677630615. The cubic root of 288764352 is about 660.9691546934.

The spelling of 288764352 in words is "two hundred eighty-eight million, seven hundred sixty-four thousand, three hundred fifty-two".