162528 has 24 divisors (see below), whose sum is σ = 426888. Its totient is φ = 54144.

The previous prime is 162527. The next prime is 162529. The reversal of 162528 is 825261.

162528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162527) and next prime (162529).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 162498 and 162507.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162528.

It is not an unprimeable number, because it can be changed into a prime (162523) 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, 751 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (17787).

2¹⁶²⁵²⁸ is an apocalyptic number.

It is an amenable number.

162528 is an abundant number, since it is smaller than the sum of its proper divisors (264360).

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

162528 is a wasteful number, since it uses less digits than its factorization.

162528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1698 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 162528 is about 403.1476156447. The cubic root of 162528 is about 54.5727782295.

Adding to 162528 its reverse (825261), we get a palindrome (987789).

It can be divided in two parts, 1625 and 28, that added together give a triangular number (1653 = T₅₇).

The spelling of 162528 in words is "one hundred sixty-two thousand, five hundred twenty-eight".