89526528 has 324 divisors, whose sum is σ = 328669068. Its totient is φ = 23224320.

The previous prime is 89526523. The next prime is 89526533. The reversal of 89526528 is 82562598.

It is an interprime number because it is at equal distance from previous prime (89526523) and next prime (89526533).

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 82301184 = 2688^2 + 9072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89526523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467618 + ... + 1467678.

Almost surely, 2^89526528 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 89526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164334534).

89526528 is an abundant number, since it is smaller than the sum of its proper divisors (239142540).

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

89526528 is a wasteful number, since it uses less digits than its factorization.

89526528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 89526528 is about 9461.8459087009. The cubic root of 89526528 is about 447.3532333949.

The spelling of 89526528 in words is "eighty-nine million, five hundred twenty-six thousand, five hundred twenty-eight".