13762728 has 144 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 3802176.

The previous prime is 13762703. The next prime is 13762769. The reversal of 13762728 is 82726731.

13762728 is a `hidden beast` number, since 1 + 3 + 7 + 627 + 28 = 666.

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 = 13762692 and 13762701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165775 + ... + 165857.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^13762728 is an apocalyptic number.

13762728 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 13762728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

13762728 is an abundant number, since it is smaller than the sum of its proper divisors (31052952).

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

13762728 is a wasteful number, since it uses less digits than its factorization.

13762728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 13762728 is about 3709.8150897316. The cubic root of 13762728 is about 239.6448915006.

The spelling of 13762728 in words is "thirteen million, seven hundred sixty-two thousand, seven hundred twenty-eight".