13147728 has 80 divisors (see below), whose sum is σ = 38110656. Its totient is φ = 3870720.

The previous prime is 13147711. The next prime is 13147741. The reversal of 13147728 is 82774131.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

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, 19200 + ... + 19872.

Almost surely, 2^13147728 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 13147728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055328).

13147728 is an abundant number, since it is smaller than the sum of its proper divisors (24962928).

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

13147728 is a wasteful number, since it uses less digits than its factorization.

13147728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 13147728 is about 3625.9795917793. The cubic root of 13147728 is about 236.0207776402.

It can be divided in two parts, 13 and 147728, that added together give a palindrome (147741).

The spelling of 13147728 in words is "thirteen million, one hundred forty-seven thousand, seven hundred twenty-eight".