13187328 has 144 divisors (see below), whose sum is σ = 43954176. Its totient is φ = 3409920.

The previous prime is 13187323. The next prime is 13187329. The reversal of 13187328 is 82378131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13187323) 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, 59025 + ... + 59247.

Almost surely, 2^13187328 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 13187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21977088).

13187328 is an abundant number, since it is smaller than the sum of its proper divisors (30766848).

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

13187328 is a wasteful number, since it uses less digits than its factorization.

13187328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 13187328 is about 3631.4360795696. The cubic root of 13187328 is about 236.2574992720.

It can be divided in two parts, 1318 and 7328, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 13187328 in words is "thirteen million, one hundred eighty-seven thousand, three hundred twenty-eight".