164177728 has 56 divisors (see below), whose sum is σ = 382767840. Its totient is φ = 68881920.

The previous prime is 164177723. The next prime is 164177731. The reversal of 164177728 is 827771461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164177723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 183 + ... + 18121.

It is an arithmetic number, because the mean of its divisors is an integer number (6835140).

Almost surely, 2^164177728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191383920).

164177728 is an abundant number, since it is smaller than the sum of its proper divisors (218590112).

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

164177728 is a wasteful number, since it uses less digits than its factorization.

164177728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17975 (or 17965 counting only the distinct ones).

The product of its digits is 131712, while the sum is 43.

The square root of 164177728 is about 12813.1857084802. The cubic root of 164177728 is about 547.5680258532.

The spelling of 164177728 in words is "one hundred sixty-four million, one hundred seventy-seven thousand, seven hundred twenty-eight".