89528 has 24 divisors (see below), whose sum is σ = 182880. Its totient is φ = 41040.

The previous prime is 89527. The next prime is 89533. The reversal of 89528 is 82598.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 89494 and 89503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2873 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (7620).

2⁸⁹⁵²⁸ is an apocalyptic number.

It is an amenable number.

89528 is an abundant number, since it is smaller than the sum of its proper divisors (93352).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

89528 is a wasteful number, since it uses less digits than its factorization.

89528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 89528 is about 299.2122992124. The cubic root of 89528 is about 44.7355685183.

The spelling of 89528 in words is "eighty-nine thousand, five hundred twenty-eight".