268905728 has 216 divisors, whose sum is σ = 719320392. Its totient is φ = 99090432.

The previous prime is 268905709. The next prime is 268905737. The reversal of 268905728 is 827509862.

It can be written as a sum of positive squares in 4 ways, for example, as 26543104 + 242362624 = 5152^2 + 15568^2 .

It is a super-3 number, since 3×268905728³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772176 + ... + 2772272.

It is an arithmetic number, because the mean of its divisors is an integer number (3330187).

Almost surely, 2^268905728 is an apocalyptic number.

268905728 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 268905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359660196).

268905728 is an abundant number, since it is smaller than the sum of its proper divisors (450414664).

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

268905728 is a wasteful number, since it uses less digits than its factorization.

268905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 268905728 is about 16398.3452823753. The cubic root of 268905728 is about 645.4560626872.

The spelling of 268905728 in words is "two hundred sixty-eight million, nine hundred five thousand, seven hundred twenty-eight".