1128191680 has 336 divisors, whose sum is σ = 3535875072. Its totient is φ = 338688000.

The previous prime is 1128191663. The next prime is 1128191681. The reversal of 1128191680 is 861918211.

It is not an unprimeable number, because it can be changed into a prime (1128191681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5346775 + ... + 5346985.

Almost surely, 2^1128191680 is an apocalyptic number.

1128191680 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 1128191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767937536).

1128191680 is an abundant number, since it is smaller than the sum of its proper divisors (2407683392).

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

1128191680 is a wasteful number, since it uses less digits than its factorization.

1128191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 37.

The square root of 1128191680 is about 33588.5647207498. The cubic root of 1128191680 is about 1041.0245327793.

The spelling of 1128191680 in words is "one billion, one hundred twenty-eight million, one hundred ninety-one thousand, six hundred eighty".