1288128140 has 36 divisors (see below), whose sum is σ = 2929165344. Its totient is φ = 475615296.

The previous prime is 1288128113. The next prime is 1288128157. The reversal of 1288128140 is 418218821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1288128140.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187172 + ... + 193931.

It is an arithmetic number, because the mean of its divisors is an integer number (81365704).

Almost surely, 2^1288128140 is an apocalyptic number.

1288128140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288128140 is an abundant number, since it is smaller than the sum of its proper divisors (1641037204).

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

1288128140 is a wasteful number, since it uses less digits than its factorization.

1288128140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381138 (or 381123 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 1288128140 is about 35890.5020862066. The cubic root of 1288128140 is about 1088.0604455226.

The spelling of 1288128140 in words is "one billion, two hundred eighty-eight million, one hundred twenty-eight thousand, one hundred forty".