268220928 has 160 divisors (see below), whose sum is σ = 760522752. Its totient is φ = 83865600.

The previous prime is 268220923. The next prime is 268220957. The reversal of 268220928 is 829022862.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268220923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2047423 + ... + 2047553.

Almost surely, 2^268220928 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 268220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380261376).

268220928 is an abundant number, since it is smaller than the sum of its proper divisors (492301824).

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

268220928 is a wasteful number, since it uses less digits than its factorization.

268220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 268220928 is about 16377.4518164457. The cubic root of 268220928 is about 644.9076870471.

The spelling of 268220928 in words is "two hundred sixty-eight million, two hundred twenty thousand, nine hundred twenty-eight".