268396128 has 576 divisors, whose sum is σ = 1100736000. Its totient is φ = 60963840.

The previous prime is 268396123. The next prime is 268396159. The reversal of 268396128 is 821693862.

268396128 is a `hidden beast` number, since 26 + 8 + 3 + 9 + 612 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268396123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14126103 + ... + 14126121.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^268396128 is an apocalyptic number.

268396128 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 268396128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

268396128 is an abundant number, since it is smaller than the sum of its proper divisors (832339872).

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

268396128 is a wasteful number, since it uses less digits than its factorization.

268396128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 268396128 is about 16382.7997607247. The cubic root of 268396128 is about 645.0480728547.

The spelling of 268396128 in words is "two hundred sixty-eight million, three hundred ninety-six thousand, one hundred twenty-eight".