268849728 has 168 divisors, whose sum is σ = 889162560. Its totient is φ = 76078080.

The previous prime is 268849727. The next prime is 268849741. The reversal of 268849728 is 827948862.

It is a tau number, because it is divible by the number of its divisors (168).

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 (268849727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527938 + ... + 528446.

Almost surely, 2^268849728 is an apocalyptic number.

268849728 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 268849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444581280).

268849728 is an abundant number, since it is smaller than the sum of its proper divisors (620312832).

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

268849728 is a wasteful number, since it uses less digits than its factorization.

268849728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

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

The square root of 268849728 is about 16396.6377041148. The cubic root of 268849728 is about 645.4112538625.

The spelling of 268849728 in words is "two hundred sixty-eight million, eight hundred forty-nine thousand, seven hundred twenty-eight".