288356768 has 72 divisors (see below), whose sum is σ = 695217600. Its totient is φ = 117065088.

The previous prime is 288356767. The next prime is 288356791. The reversal of 288356768 is 867653882.

It is not an unprimeable number, because it can be changed into a prime (288356767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24953 + ... + 34631.

It is an arithmetic number, because the mean of its divisors is an integer number (9655800).

Almost surely, 2^288356768 is an apocalyptic number.

288356768 is a gapful number since it is divisible by the number (28) 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 288356768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347608800).

288356768 is an abundant number, since it is smaller than the sum of its proper divisors (406860832).

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

288356768 is a wasteful number, since it uses less digits than its factorization.

288356768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9707 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The square root of 288356768 is about 16981.0708731811. The cubic root of 288356768 is about 660.6580275288.

The spelling of 288356768 in words is "two hundred eighty-eight million, three hundred fifty-six thousand, seven hundred sixty-eight".