13015728 has 150 divisors (see below), whose sum is σ = 41906172. Its totient is φ = 3896640.

The previous prime is 13015721. The next prime is 13015729. The reversal of 13015728 is 82751031.

It is a super-3 number, since 3×13015728³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13015721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156775 + ... + 156857.

Almost surely, 2^13015728 is an apocalyptic number.

13015728 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 13015728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953086).

13015728 is an abundant number, since it is smaller than the sum of its proper divisors (28890444).

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

13015728 is a wasteful number, since it uses less digits than its factorization.

13015728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13015728 is about 3607.7316973411. The cubic root of 13015728 is about 235.2282556641.

Adding to 13015728 its reverse (82751031), we get a palindrome (95766759).

The spelling of 13015728 in words is "thirteen million, fifteen thousand, seven hundred twenty-eight".