13286377728 has 144 divisors (see below), whose sum is σ = 42312762240. Its totient is φ = 4088088576.

The previous prime is 13286377721. The next prime is 13286377733. The reversal of 13286377728 is 82777368231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13286377721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15925 + ... + 163787.

Almost surely, 2^13286377728 is an apocalyptic number.

13286377728 is a gapful number since it is divisible by the number (18) 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 13286377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156381120).

13286377728 is an abundant number, since it is smaller than the sum of its proper divisors (29026384512).

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

13286377728 is a wasteful number, since it uses less digits than its factorization.

13286377728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147901 (or 147881 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 13286377728 in words is "thirteen billion, two hundred eighty-six million, three hundred seventy-seven thousand, seven hundred twenty-eight".