259728768 has 320 divisors, whose sum is σ = 870851520. Its totient is φ = 76308480.

The previous prime is 259728767. The next prime is 259728787. The reversal of 259728768 is 867827952.

It is a happy number.

259728768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (259728767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5526121 + ... + 5526167.

It is an arithmetic number, because the mean of its divisors is an integer number (2721411).

Almost surely, 2^259728768 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 259728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435425760).

259728768 is an abundant number, since it is smaller than the sum of its proper divisors (611122752).

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

259728768 is a wasteful number, since it uses less digits than its factorization.

259728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 259728768 is about 16116.1027546985. The cubic root of 259728768 is about 638.0284117155.

The spelling of 259728768 in words is "two hundred fifty-nine million, seven hundred twenty-eight thousand, seven hundred sixty-eight".