164953728 has 144 divisors (see below), whose sum is σ = 493769250. Its totient is φ = 52853760.

The previous prime is 164953727. The next prime is 164953739. The reversal of 164953728 is 827359461.

164953728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 159971904 + 4981824 = 12648^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (164953727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1106998 + ... + 1107146.

Almost surely, 2^164953728 is an apocalyptic number.

164953728 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 164953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246884625).

164953728 is an abundant number, since it is smaller than the sum of its proper divisors (328815522).

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

164953728 is a wasteful number, since it uses less digits than its factorization.

164953728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 185 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 164953728 is about 12843.4313172143. The cubic root of 164953728 is about 548.4293791429.

The spelling of 164953728 in words is "one hundred sixty-four million, nine hundred fifty-three thousand, seven hundred twenty-eight".