1126268928 has 256 divisors, whose sum is σ = 3565104000. Its totient is φ = 350355456.

The previous prime is 1126268903. The next prime is 1126268929. The reversal of 1126268928 is 8298626211.

1126268928 is a `hidden beast` number, since 1 + 12 + 626 + 8 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126268929) 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, 16809951 + ... + 16810017.

Almost surely, 2^1126268928 is an apocalyptic number.

1126268928 is a gapful number since it is divisible by the number (18) 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 1126268928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782552000).

1126268928 is an abundant number, since it is smaller than the sum of its proper divisors (2438835072).

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

1126268928 is an frugal number, since it uses more digits than its factorization.

1126268928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1126268928 is about 33559.9303932532. The cubic root of 1126268928 is about 1040.4327981689.

The spelling of 1126268928 in words is "one billion, one hundred twenty-six million, two hundred sixty-eight thousand, nine hundred twenty-eight".