8138628 has 36 divisors (see below), whose sum is σ = 20665008. Its totient is φ = 2700720.

The previous prime is 8138579. The next prime is 8138629. The reversal of 8138628 is 8268318.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18432) is a multiple of the sum of its prime factors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 8138592 and 8138601.

It is not an unprimeable number, because it can be changed into a prime (8138629) 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, 11575 + ... + 12257.

It is an arithmetic number, because the mean of its divisors is an integer number (574028).

Almost surely, 2^8138628 is an apocalyptic number.

It is an amenable number.

8138628 is an abundant number, since it is smaller than the sum of its proper divisors (12526380).

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

8138628 is a wasteful number, since it uses less digits than its factorization.

8138628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1019 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8138628 is about 2852.8280705293. The cubic root of 8138628 is about 201.1486240191.

The spelling of 8138628 in words is "eight million, one hundred thirty-eight thousand, six hundred twenty-eight".