13628035 has 16 divisors (see below), whose sum is σ = 17337600. Its totient is φ = 10254816.

The previous prime is 13628023. The next prime is 13628039. The reversal of 13628035 is 53082631.

13628035 = 11² + 12² + ... + 344².

It is a cyclic number.

It is not a de Polignac number, because 13628035 - 2⁷ = 13627907 is a prime.

It is a super-2 number, since 2×13628035² = 371446675922450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13627994 and 13628012.

It is not an unprimeable number, because it can be changed into a prime (13628039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15436 + ... + 16294.

It is an arithmetic number, because the mean of its divisors is an integer number (1083600).

Almost surely, 2^13628035 is an apocalyptic number.

13628035 is a deficient number, since it is larger than the sum of its proper divisors (3709565).

13628035 is a wasteful number, since it uses less digits than its factorization.

13628035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 13628035 is about 3691.6168544420. The cubic root of 13628035 is about 238.8605419963.

The spelling of 13628035 in words is "thirteen million, six hundred twenty-eight thousand, thirty-five".