13078728 has 96 divisors (see below), whose sum is σ = 38820600. Its totient is φ = 3953664.

The previous prime is 13078721. The next prime is 13078771. The reversal of 13078728 is 82787031.

It can be written as a sum of positive squares in 4 ways, for example, as 5560164 + 7518564 = 2358^2 + 2742^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13078692 and 13078701.

It is not an unprimeable number, because it can be changed into a prime (13078721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83226 + ... + 83382.

Almost surely, 2^13078728 is an apocalyptic number.

13078728 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 13078728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19410300).

13078728 is an abundant number, since it is smaller than the sum of its proper divisors (25741872).

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

13078728 is a wasteful number, since it uses less digits than its factorization.

13078728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 13078728 is about 3616.4524053276. The cubic root of 13078728 is about 235.6071699060.

The spelling of 13078728 in words is "thirteen million, seventy-eight thousand, seven hundred twenty-eight".