1128381120 has 336 divisors, whose sum is σ = 4329318240. Its totient is φ = 268075008.

The previous prime is 1128381053. The next prime is 1128381151. The reversal of 1128381120 is 211838211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929634 + ... + 930846.

Almost surely, 2^1128381120 is an apocalyptic number.

1128381120 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 1128381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164659120).

1128381120 is an abundant number, since it is smaller than the sum of its proper divisors (3200937120).

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

1128381120 is a wasteful number, since it uses less digits than its factorization.

1128381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1128381120 is about 33591.3846097478. The cubic root of 1128381120 is about 1041.0827973023.

The spelling of 1128381120 in words is "one billion, one hundred twenty-eight million, three hundred eighty-one thousand, one hundred twenty".