288838656 has 176 divisors, whose sum is σ = 885614080. Its totient is φ = 92897280.

The previous prime is 288838643. The next prime is 288838657. The reversal of 288838656 is 656838882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288838657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856920 + ... + 857256.

Almost surely, 2^288838656 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 288838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442807040).

288838656 is an abundant number, since it is smaller than the sum of its proper divisors (596775424).

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

288838656 is a wasteful number, since it uses less digits than its factorization.

288838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 288838656 is about 16995.2539257288. The cubic root of 288838656 is about 661.0258427158.

The spelling of 288838656 in words is "two hundred eighty-eight million, eight hundred thirty-eight thousand, six hundred fifty-six".