1689144288 has 192 divisors, whose sum is σ = 5049838080. Its totient is φ = 490457088.

The previous prime is 1689144271. The next prime is 1689144307. The reversal of 1689144288 is 8824419861.

It is a self number, because there is not a number n which added to its sum of digits gives 1689144288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2382078 + ... + 2382786.

It is an arithmetic number, because the mean of its divisors is an integer number (26301240).

Almost surely, 2^1689144288 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 1689144288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524919040).

1689144288 is an abundant number, since it is smaller than the sum of its proper divisors (3360693792).

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

1689144288 is a wasteful number, since it uses less digits than its factorization.

1689144288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 1689144288 is about 41099.2005761669. The cubic root of 1689144288 is about 1190.9373515229.

The spelling of 1689144288 in words is "one billion, six hundred eighty-nine million, one hundred forty-four thousand, two hundred eighty-eight".