268617728 has 48 divisors (see below), whose sum is σ = 554561280. Its totient is φ = 129945600.

The previous prime is 268617719. The next prime is 268617757. The reversal of 268617728 is 827716862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61373 + ... + 65603.

It is an arithmetic number, because the mean of its divisors is an integer number (11553360).

Almost surely, 2^268617728 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 268617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277280640).

268617728 is an abundant number, since it is smaller than the sum of its proper divisors (285943552).

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

268617728 is an equidigital number, since it uses as much as digits as its factorization.

268617728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4264 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 268617728 is about 16389.5615560637. The cubic root of 268617728 is about 645.2255509876.

The spelling of 268617728 in words is "two hundred sixty-eight million, six hundred seventeen thousand, seven hundred twenty-eight".