1288747128 has 96 divisors (see below), whose sum is σ = 3380330880. Its totient is φ = 409348800.

The previous prime is 1288747121. The next prime is 1288747129. The reversal of 1288747128 is 8217478821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288747121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1637151 + ... + 1637937.

It is an arithmetic number, because the mean of its divisors is an integer number (35211780).

Almost surely, 2^1288747128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288747128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690165440).

1288747128 is an abundant number, since it is smaller than the sum of its proper divisors (2091583752).

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

1288747128 is a wasteful number, since it uses less digits than its factorization.

1288747128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 894 counting only the distinct ones).

The product of its digits is 401408, while the sum is 48.

The square root of 1288747128 is about 35899.1243347244. The cubic root of 1288747128 is about 1088.2347005748.

The spelling of 1288747128 in words is "one billion, two hundred eighty-eight million, seven hundred forty-seven thousand, one hundred twenty-eight".