268118928 has 120 divisors (see below), whose sum is σ = 935553216. Its totient is φ = 69638400.

The previous prime is 268118927. The next prime is 268118947. The reversal of 268118928 is 829811862.

It is a happy number.

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 (268118927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003 + ... + 23178.

Almost surely, 2^268118928 is an apocalyptic number.

268118928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268118928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467776608).

268118928 is an abundant number, since it is smaller than the sum of its proper divisors (667434288).

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

268118928 is a wasteful number, since it uses less digits than its factorization.

268118928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24213 (or 24204 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 268118928 is about 16374.3374827808. The cubic root of 268118928 is about 644.8259274261.

It can be divided in two parts, 2681 and 18928, that added together give a square (21609 = 147²).

The spelling of 268118928 in words is "two hundred sixty-eight million, one hundred eighteen thousand, nine hundred twenty-eight".