1288342000 has 160 divisors (see below), whose sum is σ = 3429226944. Its totient is φ = 464256000.

The previous prime is 1288341997. The next prime is 1288342001. The reversal of 1288342000 is 2438821.

It is a self number, because there is not a number n which added to its sum of digits gives 1288342000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288342001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3453814 + ... + 3454186.

Almost surely, 2^1288342000 is an apocalyptic number.

1288342000 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 1288342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714613472).

1288342000 is an abundant number, since it is smaller than the sum of its proper divisors (2140884944).

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

1288342000 is a wasteful number, since it uses less digits than its factorization.

1288342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1288342000 is about 35893.4813023201. The cubic root of 1288342000 is about 1088.1206568539.

The spelling of 1288342000 in words is "one billion, two hundred eighty-eight million, three hundred forty-two thousand".