13128162528 has 96 divisors (see below), whose sum is σ = 37142050176. Its totient is φ = 4036197888.

The previous prime is 13128162517. The next prime is 13128162533. The reversal of 13128162528 is 82526182131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897251 + ... + 1904157.

It is an arithmetic number, because the mean of its divisors is an integer number (386896356).

Almost surely, 2^13128162528 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 13128162528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571025088).

13128162528 is an abundant number, since it is smaller than the sum of its proper divisors (24013887648).

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

13128162528 is a wasteful number, since it uses less digits than its factorization.

13128162528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456 (or 8448 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The spelling of 13128162528 in words is "thirteen billion, one hundred twenty-eight million, one hundred sixty-two thousand, five hundred twenty-eight".