13628820 has 24 divisors (see below), whose sum is σ = 38160864. Its totient is φ = 3634336.

The previous prime is 13628819. The next prime is 13628821. The reversal of 13628820 is 2882631.

It is an interprime number because it is at equal distance from previous prime (13628819) and next prime (13628821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113514 + ... + 113633.

It is an arithmetic number, because the mean of its divisors is an integer number (1590036).

Almost surely, 2^13628820 is an apocalyptic number.

13628820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13628820 is an abundant number, since it is smaller than the sum of its proper divisors (24532044).

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

13628820 is a wasteful number, since it uses less digits than its factorization.

13628820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227159 (or 227157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13628820 is about 3691.7231748873. The cubic root of 13628820 is about 238.8651281778.

The spelling of 13628820 in words is "thirteen million, six hundred twenty-eight thousand, eight hundred twenty".