268039128 has 64 divisors (see below), whose sum is σ = 777288960. Its totient is φ = 75436416.

The previous prime is 268039127. The next prime is 268039139. The reversal of 268039128 is 821930862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268039127) 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, 651 + ... + 23162.

It is an arithmetic number, because the mean of its divisors is an integer number (12145140).

Almost surely, 2^268039128 is an apocalyptic number.

268039128 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 268039128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

268039128 is an abundant number, since it is smaller than the sum of its proper divisors (509249832).

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

268039128 is a wasteful number, since it uses less digits than its factorization.

268039128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23896 (or 23892 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 268039128 is about 16371.9005616330. The cubic root of 268039128 is about 644.7619480877.

The spelling of 268039128 in words is "two hundred sixty-eight million, thirty-nine thousand, one hundred twenty-eight".