13636728 has 128 divisors (see below), whose sum is σ = 44928000. Its totient is φ = 3749760.

The previous prime is 13636709. The next prime is 13636747. The reversal of 13636728 is 82763631.

It is a happy number.

13636728 is a `hidden beast` number, since 13 + 636 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13636709) and next prime (13636747).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13636692 and 13636701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43693 + ... + 44003.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 2^13636728 is an apocalyptic number.

13636728 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 13636728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000).

13636728 is an abundant number, since it is smaller than the sum of its proper divisors (31291272).

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

13636728 is a wasteful number, since it uses less digits than its factorization.

13636728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13636728 is about 3692.7940641200. The cubic root of 13636728 is about 238.9113190244.

It can be divided in two parts, 136 and 36728, that added together give a square (36864 = 192²).

The spelling of 13636728 in words is "thirteen million, six hundred thirty-six thousand, seven hundred twenty-eight".