268028288 has 128 divisors (see below), whose sum is σ = 630115200. Its totient is φ = 112250880.

The previous prime is 268028251. The next prime is 268028329. The reversal of 268028288 is 882820862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150220 + ... + 1150452.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2^268028288 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 268028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315057600).

268028288 is an abundant number, since it is smaller than the sum of its proper divisors (362086912).

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

268028288 is a wasteful number, since it uses less digits than its factorization.

268028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 268028288 is about 16371.5695032578. The cubic root of 268028288 is about 644.7532561804.

The spelling of 268028288 in words is "two hundred sixty-eight million, twenty-eight thousand, two hundred eighty-eight".