13436928 has 108 divisors (see below), whose sum is σ = 40298895. Its totient is φ = 4478976.

The previous prime is 13436923. The next prime is 13436959. The reversal of 13436928 is 82963431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)⁷ ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 6718464 = 2592^2 + 2592^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅B^A, here for A=8, B=6.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13436892 and 13436901.

It is not an unprimeable number, because it can be changed into a prime (13436921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4478975 + 4478976 + 4478977.

Almost surely, 2^13436928 is an apocalyptic number.

13436928 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 13436928

13436928 is an abundant number, since it is smaller than the sum of its proper divisors (26861967).

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

13436928 is an frugal number, since it uses more digits than its factorization.

13436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 5 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13436928 is about 3665.6415536711. The cubic root of 13436928 is about 237.7387619204.

13436928 divided by its sum of digits (36) gives a cube (373248 = 72³).

The spelling of 13436928 in words is "thirteen million, four hundred thirty-six thousand, nine hundred twenty-eight".