268676928 has 168 divisors, whose sum is σ = 846249768. Its totient is φ = 80990208.

The previous prime is 268676923. The next prime is 268676953. The reversal of 268676928 is 829676862.

It can be written as a sum of positive squares in 4 ways, for example, as 102576384 + 166100544 = 10128^2 + 12888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268676921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396526 + ... + 397202.

It is an arithmetic number, because the mean of its divisors is an integer number (5037201).

Almost surely, 2^268676928 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 268676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423124884).

268676928 is an abundant number, since it is smaller than the sum of its proper divisors (577572840).

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

268676928 is a wasteful number, since it uses less digits than its factorization.

268676928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 268676928 is about 16391.3674841363. The cubic root of 268676928 is about 645.2729473963.

The spelling of 268676928 in words is "two hundred sixty-eight million, six hundred seventy-six thousand, nine hundred twenty-eight".