1128608640 has 448 divisors, whose sum is σ = 4214170800. Its totient is φ = 288645120.

The previous prime is 1128608639. The next prime is 1128608651. The reversal of 1128608640 is 468068211.

1128608640 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 6 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1128608595 and 1128608604.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 19128931 + ... + 19128989.

Almost surely, 2^1128608640 is an apocalyptic number.

1128608640 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 1128608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107085400).

1128608640 is an abundant number, since it is smaller than the sum of its proper divisors (3085562160).

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

1128608640 is an frugal number, since it uses more digits than its factorization.

1128608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1128608640 is about 33594.7710216932. The cubic root of 1128608640 is about 1041.1527651632.

The spelling of 1128608640 in words is "one billion, one hundred twenty-eight million, six hundred eight thousand, six hundred forty".