164681728 has 48 divisors (see below), whose sum is σ = 331793280. Its totient is φ = 81715200.

The previous prime is 164681723. The next prime is 164681743. The reversal of 164681728 is 827186461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164681723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 390958 + ... + 391378.

It is an arithmetic number, because the mean of its divisors is an integer number (6912360).

Almost surely, 2^164681728 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 164681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165896640).

164681728 is an abundant number, since it is smaller than the sum of its proper divisors (167111552).

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

164681728 is an equidigital number, since it uses as much as digits as its factorization.

164681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 614 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 164681728 is about 12832.8378778819. The cubic root of 164681728 is about 548.1277695929.

The spelling of 164681728 in words is "one hundred sixty-four million, six hundred eighty-one thousand, seven hundred twenty-eight".