13628016 has 120 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 4036608.

The previous prime is 13628011. The next prime is 13628023. The reversal of 13628016 is 61082631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46366 + ... + 46658.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^13628016 is an apocalyptic number.

13628016 is a gapful number since it is divisible by the number (16) 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 13628016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

13628016 is an abundant number, since it is smaller than the sum of its proper divisors (29025504).

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

13628016 is a wasteful number, since it uses less digits than its factorization.

13628016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13628016 is about 3691.6142810429. The cubic root of 13628016 is about 238.8604309910.

The spelling of 13628016 in words is "thirteen million, six hundred twenty-eight thousand, sixteen".