1128130560 has 144 divisors (see below), whose sum is σ = 3910217220. Its totient is φ = 300810240.

The previous prime is 1128130559. The next prime is 1128130561. The reversal of 1128130560 is 650318211.

It is an interprime number because it is at equal distance from previous prime (1128130559) and next prime (1128130561).

It can be written as a sum of positive squares in 2 ways, for example, as 1084253184 + 43877376 = 32928^2 + 6624^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1128130561) 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, 86040 + ... + 98280.

Almost surely, 2^1128130560 is an apocalyptic number.

1128130560 is a gapful number since it is divisible by the number (10) 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 1128130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955108610).

1128130560 is an abundant number, since it is smaller than the sum of its proper divisors (2782086660).

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

1128130560 is a wasteful number, since it uses less digits than its factorization.

1128130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1128130560 is about 33587.6548749686. The cubic root of 1128130560 is about 1041.0057332054.

Adding to 1128130560 its reverse (650318211), we get a palindrome (1778448771).

The spelling of 1128130560 in words is "one billion, one hundred twenty-eight million, one hundred thirty thousand, five hundred sixty".