268316928 has 144 divisors (see below), whose sum is σ = 865838400. Its totient is φ = 81285120.

The previous prime is 268316927. The next prime is 268316941. The reversal of 268316928 is 829613862.

268316928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268316921) 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, 74268 + ... + 77796.

Almost surely, 2^268316928 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 268316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432919200).

268316928 is an abundant number, since it is smaller than the sum of its proper divisors (597521472).

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

268316928 is a wasteful number, since it uses less digits than its factorization.

268316928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3545 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 268316928 is about 16380.3824131184. The cubic root of 268316928 is about 644.9846183460.

The spelling of 268316928 in words is "two hundred sixty-eight million, three hundred sixteen thousand, nine hundred twenty-eight".