1128768000 has 160 divisors (see below), whose sum is σ = 3753509760. Its totient is φ = 300953600.

The previous prime is 1128767993. The next prime is 1128768013. The reversal of 1128768000 is 8678211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189061 + ... + 194939.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 2^1128768000 is an apocalyptic number.

1128768000 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 1128768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876754880).

1128768000 is an abundant number, since it is smaller than the sum of its proper divisors (2624741760).

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

1128768000 is an frugal number, since it uses more digits than its factorization.

1128768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1128768000 is about 33597.1427356554. The cubic root of 1128768000 is about 1041.2017665885.

The spelling of 1128768000 in words is "one billion, one hundred twenty-eight million, seven hundred sixty-eight thousand".