268928 has 32 divisors (see below), whose sum is σ = 587520. Its totient is φ = 121600.

The previous prime is 268927. The next prime is 268937. The reversal of 268928 is 829862.

268928 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (13824) is a multiple of the sum of its prime factors (216).

It is a zygodrome in base 3 and base 7.

It is not an unprimeable number, because it can be changed into a prime (268921) by changing a digit.

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, 1313 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²⁶⁸⁹²⁸ 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 268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293760).

268928 is an abundant number, since it is smaller than the sum of its proper divisors (318592).

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

268928 is a wasteful number, since it uses less digits than its factorization.

268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 268928 is about 518.5826838605. The cubic root of 268928 is about 64.5473882068.

The spelling of 268928 in words is "two hundred sixty-eight thousand, nine hundred twenty-eight".