13709628 has 48 divisors (see below), whose sum is σ = 36143520. Its totient is φ = 4492800.

The previous prime is 13709627. The next prime is 13709629. The reversal of 13709628 is 82690731.

It is an interprime number because it is at equal distance from previous prime (13709627) and next prime (13709629).

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 = 13709592 and 13709601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5548 + ... + 7628.

It is an arithmetic number, because the mean of its divisors is an integer number (752990).

Almost surely, 2^13709628 is an apocalyptic number.

13709628 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 13709628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071760).

13709628 is an abundant number, since it is smaller than the sum of its proper divisors (22433892).

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

13709628 is a wasteful number, since it uses less digits than its factorization.

13709628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13709628 is about 3702.6514823839. The cubic root of 13709628 is about 239.3362912364.

The spelling of 13709628 in words is "thirteen million, seven hundred nine thousand, six hundred twenty-eight".