164107728 has 80 divisors (see below), whose sum is σ = 483828160. Its totient is φ = 53218944.

The previous prime is 164107687. The next prime is 164107747. The reversal of 164107728 is 827701461.

164107728 is a `hidden beast` number, since 1 + 641 + 0 + 7 + 7 + 2 + 8 = 666.

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 = 164107692 and 164107701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10851 + ... + 21117.

It is an arithmetic number, because the mean of its divisors is an integer number (6047852).

Almost surely, 2^164107728 is an apocalyptic number.

164107728 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 164107728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241914080).

164107728 is an abundant number, since it is smaller than the sum of its proper divisors (319720432).

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

164107728 is a wasteful number, since it uses less digits than its factorization.

164107728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 164107728 is about 12810.4538561286. The cubic root of 164107728 is about 547.4901931064.

The spelling of 164107728 in words is "one hundred sixty-four million, one hundred seven thousand, seven hundred twenty-eight".