1288128460 has 48 divisors (see below), whose sum is σ = 2782759392. Its totient is φ = 500659200.

The previous prime is 1288128451. The next prime is 1288128463. The reversal of 1288128460 is 648218821.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1288128463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94900 + ... + 107620.

It is an arithmetic number, because the mean of its divisors is an integer number (57974154).

Almost surely, 2^1288128460 is an apocalyptic number.

1288128460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288128460 is an abundant number, since it is smaller than the sum of its proper divisors (1494630932).

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

1288128460 is a wasteful number, since it uses less digits than its factorization.

1288128460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12874 (or 12872 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 1288128460 is about 35890.5065442103. The cubic root of 1288128460 is about 1088.0605356222.

The spelling of 1288128460 in words is "one billion, two hundred eighty-eight million, one hundred twenty-eight thousand, four hundred sixty".