126268928 has 80 divisors (see below), whose sum is σ = 271790640. Its totient is φ = 58392576.

The previous prime is 126268913. The next prime is 126268951. The reversal of 126268928 is 829862621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774575 + ... + 774737.

It is an arithmetic number, because the mean of its divisors is an integer number (3397383).

Almost surely, 2^126268928 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 126268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135895320).

126268928 is an abundant number, since it is smaller than the sum of its proper divisors (145521712).

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

126268928 is an equidigital number, since it uses as much as digits as its factorization.

126268928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 126268928 is about 11236.9447804997. The cubic root of 126268928 is about 501.6862109924.

The spelling of 126268928 in words is "one hundred twenty-six million, two hundred sixty-eight thousand, nine hundred twenty-eight".