268442928 has 120 divisors (see below), whose sum is σ = 814343712. Its totient is φ = 82059264.

The previous prime is 268442927. The next prime is 268442947. The reversal of 268442928 is 829244862.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (268442921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360925 + ... + 361667.

Almost surely, 2^268442928 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 268442928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407171856).

268442928 is an abundant number, since it is smaller than the sum of its proper divisors (545900784).

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

268442928 is a wasteful number, since it uses less digits than its factorization.

268442928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 268442928 is about 16384.2280257570. The cubic root of 268442928 is about 645.0855628334.

The spelling of 268442928 in words is "two hundred sixty-eight million, four hundred forty-two thousand, nine hundred twenty-eight".