89541528 has 64 divisors (see below), whose sum is σ = 237168000. Its totient is φ = 28092672.

The previous prime is 89541521. The next prime is 89541541. The reversal of 89541528 is 82514598.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89541528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89541521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81076 + ... + 82172.

It is an arithmetic number, because the mean of its divisors is an integer number (3705750).

Almost surely, 2^89541528 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 89541528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118584000).

89541528 is an abundant number, since it is smaller than the sum of its proper divisors (147626472).

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

89541528 is a wasteful number, since it uses less digits than its factorization.

89541528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1300 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 89541528 is about 9462.6385326715. The cubic root of 89541528 is about 447.3782163950.

The spelling of 89541528 in words is "eighty-nine million, five hundred forty-one thousand, five hundred twenty-eight".