12853728 has 168 divisors, whose sum is σ = 41315400. Its totient is φ = 3919104.

The previous prime is 12853721. The next prime is 12853733. The reversal of 12853728 is 82735821.

12853728 is a `hidden beast` number, since 1 + 285 + 372 + 8 = 666.

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 = 12853692 and 12853701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12853721) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 443218 + ... + 443246.

It is an arithmetic number, because the mean of its divisors is an integer number (245925).

Almost surely, 2^12853728 is an apocalyptic number.

12853728 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 12853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657700).

12853728 is an abundant number, since it is smaller than the sum of its proper divisors (28461672).

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

12853728 is an equidigital number, since it uses as much as digits as its factorization.

12853728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12853728 is about 3585.2096173027. The cubic root of 12853728 is about 234.2482572338.

The spelling of 12853728 in words is "twelve million, eight hundred fifty-three thousand, seven hundred twenty-eight".