268776928 has 48 divisors (see below), whose sum is σ = 608882400. Its totient is φ = 114402816.

The previous prime is 268776883. The next prime is 268776929. The reversal of 268776928 is 829677862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268776929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29350 + ... + 37402.

It is an arithmetic number, because the mean of its divisors is an integer number (12685050).

Almost surely, 2^268776928 is an apocalyptic number.

268776928 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 268776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304441200).

268776928 is an abundant number, since it is smaller than the sum of its proper divisors (340105472).

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

268776928 is a wasteful number, since it uses less digits than its factorization.

268776928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8219 (or 8211 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 55.

The square root of 268776928 is about 16394.4175864835. The cubic root of 268776928 is about 645.3529930870.

The spelling of 268776928 in words is "two hundred sixty-eight million, seven hundred seventy-six thousand, nine hundred twenty-eight".