268532928 has 112 divisors (see below), whose sum is σ = 831088000. Its totient is φ = 84789504.

The previous prime is 268532921. The next prime is 268532933. The reversal of 268532928 is 829235862.

It is a happy number.

268532928 is a `hidden beast` number, since 26 + 8 + 532 + 92 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (268532921) 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, 28743 + ... + 36921.

Almost surely, 2^268532928 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 268532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415544000).

268532928 is an abundant number, since it is smaller than the sum of its proper divisors (562555072).

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

268532928 is a wasteful number, since it uses less digits than its factorization.

268532928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8203 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 268532928 is about 16386.9743393953. The cubic root of 268532928 is about 645.1576467011.

The spelling of 268532928 in words is "two hundred sixty-eight million, five hundred thirty-two thousand, nine hundred twenty-eight".