1128386112 has 336 divisors, whose sum is σ = 3702661632. Its totient is φ = 301916160.

The previous prime is 1128386069. The next prime is 1128386137. The reversal of 1128386112 is 2116838211.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 47 ways as a sum of consecutive naturals, for example, 15457308 + ... + 15457380.

Almost surely, 2^1128386112 is an apocalyptic number.

1128386112 is a gapful number since it is divisible by the number (12) 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 1128386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851330816).

1128386112 is an abundant number, since it is smaller than the sum of its proper divisors (2574275520).

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

1128386112 is a wasteful number, since it uses less digits than its factorization.

1128386112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 1128386112 is about 33591.4589144324. The cubic root of 1128386112 is about 1041.0843325630.

The spelling of 1128386112 in words is "one billion, one hundred twenty-eight million, three hundred eighty-six thousand, one hundred twelve".