1126736928 has 72 divisors (see below), whose sum is σ = 3209303916. Its totient is φ = 374976000.

The previous prime is 1126736927. The next prime is 1126736939. The reversal of 1126736928 is 8296376211.

1126736928 is a `hidden beast` number, since 1 + 1 + 267 + 369 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1113690384 + 13046544 = 33372^2 + 3612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1126736928² = 2539072209837754368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1126736927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199098 + ... + 204678.

Almost surely, 2^1126736928 is an apocalyptic number.

1126736928 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 1126736928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604651958).

1126736928 is an abundant number, since it is smaller than the sum of its proper divisors (2082566988).

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

1126736928 is a wasteful number, since it uses less digits than its factorization.

1126736928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6287 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1126736928 is about 33566.9022699444. The cubic root of 1126736928 is about 1040.5768890129.

The spelling of 1126736928 in words is "one billion, one hundred twenty-six million, seven hundred thirty-six thousand, nine hundred twenty-eight".