268489728 has 264 divisors, whose sum is σ = 876247008. Its totient is φ = 81616896.

The previous prime is 268489673. The next prime is 268489733. The reversal of 268489728 is 827984862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234775 + ... + 3234857.

Almost surely, 2^268489728 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 268489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438123504).

268489728 is an abundant number, since it is smaller than the sum of its proper divisors (607757280).

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

268489728 is an equidigital number, since it uses as much as digits as its factorization.

268489728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 268489728 is about 16385.6561662937. The cubic root of 268489728 is about 645.1230484550.

The spelling of 268489728 in words is "two hundred sixty-eight million, four hundred eighty-nine thousand, seven hundred twenty-eight".