164186028 has 60 divisors (see below), whose sum is σ = 430851960. Its totient is φ = 54520128.

The previous prime is 164185991. The next prime is 164186039. The reversal of 164186028 is 820681461.

164186028 is a `hidden beast` number, since 1 + 6 + 41 + 8 + 602 + 8 = 666.

164186028 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 164185983 and 164186001.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100603 + ... + 102221.

It is an arithmetic number, because the mean of its divisors is an integer number (7180866).

Almost surely, 2^164186028 is an apocalyptic number.

164186028 is a gapful number since it is divisible by the number (18) 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 164186028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215425980).

164186028 is an abundant number, since it is smaller than the sum of its proper divisors (266665932).

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

164186028 is a wasteful number, since it uses less digits than its factorization.

164186028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1937 counting only the distinct ones).

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

The square root of 164186028 is about 12813.5095894919. The cubic root of 164186028 is about 547.5772531260.

The spelling of 164186028 in words is "one hundred sixty-four million, one hundred eighty-six thousand, twenty-eight".