1128768720 has 160 divisors (see below), whose sum is σ = 3900286080. Its totient is φ = 268369920.

The previous prime is 1128768673. The next prime is 1128768749. The reversal of 1128768720 is 278678211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70240 + ... + 84800.

It is an arithmetic number, because the mean of its divisors is an integer number (24376788).

Almost surely, 2^1128768720 is an apocalyptic number.

1128768720 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 1128768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950143040).

1128768720 is an abundant number, since it is smaller than the sum of its proper divisors (2771517360).

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

1128768720 is a wasteful number, since it uses less digits than its factorization.

1128768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14613 (or 14607 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 1128768720 is about 33597.1534508506. The cubic root of 1128768720 is about 1041.2019879700.

The spelling of 1128768720 in words is "one billion, one hundred twenty-eight million, seven hundred sixty-eight thousand, seven hundred twenty".