164528 has 40 divisors (see below), whose sum is σ = 395808. Its totient is φ = 64512.

The previous prime is 164513. The next prime is 164531. The reversal of 164528 is 825461.

164528 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 164497 and 164506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1400 + ... + 1512.

2¹⁶⁴⁵²⁸ 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 164528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904).

164528 is an abundant number, since it is smaller than the sum of its proper divisors (231280).

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

164528 is a wasteful number, since it uses less digits than its factorization.

164528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 164528 is about 405.6205123018. The cubic root of 164528 is about 54.7957160059.

164528 divided by its sum of digits (26) gives a triangular number (6328 = T₁₁₂).

Adding to 164528 its reverse (825461), we get a palindrome (989989).

The spelling of 164528 in words is "one hundred sixty-four thousand, five hundred twenty-eight".