13628600 has 48 divisors (see below), whose sum is σ = 32107320. Its totient is φ = 5379200.

The previous prime is 13628569. The next prime is 13628603. The reversal of 13628600 is 682631.

It is a self number, because there is not a number n which added to its sum of digits gives 13628600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16190 + ... + 17010.

Almost surely, 2^13628600 is an apocalyptic number.

13628600 is a gapful number since it is divisible by the number (10) 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 13628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053660).

13628600 is an abundant number, since it is smaller than the sum of its proper divisors (18478720).

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

13628600 is a wasteful number, since it uses less digits than its factorization.

13628600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13628600 is about 3691.6933783834. The cubic root of 13628600 is about 238.8638428963.

The spelling of 13628600 in words is "thirteen million, six hundred twenty-eight thousand, six hundred".