13282189284 has 288 divisors, whose sum is σ = 41508827136. Its totient is φ = 3224033280.

The previous prime is 13282189279. The next prime is 13282189303. The reversal of 13282189284 is 48298128231.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11342019 + ... + 11343189.

It is an arithmetic number, because the mean of its divisors is an integer number (144127872).

Almost surely, 2^13282189284 is an apocalyptic number.

13282189284 is a gapful number since it is divisible by the number (14) 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 13282189284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754413568).

13282189284 is an abundant number, since it is smaller than the sum of its proper divisors (28226637852).

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

13282189284 is a wasteful number, since it uses less digits than its factorization.

13282189284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1260 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

It can be divided in two parts, 13282 and 189284, that added together give a triangular number (202566 = T₆₃₆).

The spelling of 13282189284 in words is "thirteen billion, two hundred eighty-two million, one hundred eighty-nine thousand, two hundred eighty-four".