289142084728700 has 144 divisors (see below), whose sum is σ = 726057239362560. Its totient is φ = 97898126795520.

The previous prime is 289142084728687. The next prime is 289142084728703. The reversal of 289142084728700 is 7827480241982.

It is a super-2 number, since 2×289142084728700² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289142084728703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17654381 + ... + 29832219.

It is an arithmetic number, because the mean of its divisors is an integer number (5042064162240).

Almost surely, 2^{289142084728700} is an apocalyptic number.

289142084728700 is a gapful number since it is divisible by the number (20) 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 289142084728700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363028619681280).

289142084728700 is an abundant number, since it is smaller than the sum of its proper divisors (436915154633860).

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

289142084728700 is a wasteful number, since it uses less digits than its factorization.

289142084728700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12178284 (or 12178277 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 62.

The spelling of 289142084728700 in words is "two hundred eighty-nine trillion, one hundred forty-two billion, eighty-four million, seven hundred twenty-eight thousand, seven hundred".