90528 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 28160.

The previous prime is 90527. The next prime is 90529. The reversal of 90528 is 82509.

It is an interprime number because it is at equal distance from previous prime (90527) and next prime (90529).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 90498 and 90507.

It is not an unprimeable number, because it can be changed into a prime (90523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2188 + ... + 2228.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁹⁰⁵²⁸ 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 90528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

90528 is an abundant number, since it is smaller than the sum of its proper divisors (163488).

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

90528 is a wasteful number, since it uses less digits than its factorization.

90528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 90528 is about 300.8787131055. The cubic root of 90528 is about 44.9015130037.

The spelling of 90528 in words is "ninety thousand, five hundred twenty-eight".