268171328 has 56 divisors (see below), whose sum is σ = 581704704. Its totient is φ = 122112000.

The previous prime is 268171327. The next prime is 268171357. The reversal of 268171328 is 823171862.

268171328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268171328² = 143831722322567168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268171291 and 268171300.

It is not an unprimeable number, because it can be changed into a prime (268171327) 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 7 ways as a sum of consecutive naturals, for example, 29753 + ... + 37703.

It is an arithmetic number, because the mean of its divisors is an integer number (10387584).

Almost surely, 2^268171328 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 268171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290852352).

268171328 is an abundant number, since it is smaller than the sum of its proper divisors (313533376).

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

268171328 is a wasteful number, since it uses less digits than its factorization.

268171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011 (or 8001 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 268171328 is about 16375.9374693481. The cubic root of 268171328 is about 644.8679320170.

The spelling of 268171328 in words is "two hundred sixty-eight million, one hundred seventy-one thousand, three hundred twenty-eight".