268000128 has 96 divisors (see below), whose sum is σ = 841347000. Its totient is φ = 81208320.

The previous prime is 268000081. The next prime is 268000141. The reversal of 268000128 is 821000862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2098 + ... + 23246.

Almost surely, 2^268000128 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 268000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420673500).

268000128 is an abundant number, since it is smaller than the sum of its proper divisors (573346872).

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

268000128 is a wasteful number, since it uses less digits than its factorization.

268000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21180 (or 21165 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 268000128 is about 16370.7094531667. The cubic root of 268000128 is about 644.7306753703.

The spelling of 268000128 in words is "two hundred sixty-eight million, one hundred twenty-eight", and thus it is an aban number.