13852728 has 64 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 4535136.

The previous prime is 13852723. The next prime is 13852757. The reversal of 13852728 is 82725831.

13852728 is a `hidden beast` number, since 1 + 385 + 272 + 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 = 13852692 and 13852701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13852721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12201 + ... + 13287.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 2^13852728 is an apocalyptic number.

13852728 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 13852728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

13852728 is an abundant number, since it is smaller than the sum of its proper divisors (25315272).

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

13852728 is a wasteful number, since it uses less digits than its factorization.

13852728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1151 counting only the distinct ones).

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

The square root of 13852728 is about 3721.9253082242. The cubic root of 13852728 is about 240.1661349700.

It can be divided in two parts, 1385272 and 8, that added together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 13852728 in words is "thirteen million, eight hundred fifty-two thousand, seven hundred twenty-eight".