1126052928 has 840 divisors, whose sum is σ = 4708940544. Its totient is φ = 261273600.

The previous prime is 1126052927. The next prime is 1126052933. The reversal of 1126052928 is 8292506211.

1126052928 is a `hidden beast` number, since 1 + 1 + 2 + 605 + 29 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1126052892 and 1126052901.

It is not an unprimeable number, because it can be changed into a prime (1126052927) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 36324273 + ... + 36324303.

Almost surely, 2^1126052928 is an apocalyptic number.

1126052928 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 1126052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354470272).

1126052928 is an abundant number, since it is smaller than the sum of its proper divisors (3582887616).

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

1126052928 is a wasteful number, since it uses less digits than its factorization.

1126052928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1126052928 is about 33556.7121154621. The cubic root of 1126052928 is about 1040.3662812394.

The spelling of 1126052928 in words is "one billion, one hundred twenty-six million, fifty-two thousand, nine hundred twenty-eight".