13628420 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 4612608.

The previous prime is 13628413. The next prime is 13628467. The reversal of 13628420 is 2482631.

13628420 = 1² + 2² + ... + 344².

13628420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13628420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257114 + ... + 257166.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 2^13628420 is an apocalyptic number.

13628420 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 13628420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

13628420 is an abundant number, since it is smaller than the sum of its proper divisors (19901692).

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

13628420 is a wasteful number, since it uses less digits than its factorization.

13628420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13628420 is about 3691.6689992468. The cubic root of 13628420 is about 238.8627912920.

The spelling of 13628420 in words is "thirteen million, six hundred twenty-eight thousand, four hundred twenty".