90282528 has 144 divisors (see below), whose sum is σ = 308992320. Its totient is φ = 24427008.

The previous prime is 90282497. The next prime is 90282541. The reversal of 90282528 is 82528209.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90282492 and 90282501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37126 + ... + 39482.

It is an arithmetic number, because the mean of its divisors is an integer number (2145780).

Almost surely, 2^90282528 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 90282528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154496160).

90282528 is an abundant number, since it is smaller than the sum of its proper divisors (218709792).

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

90282528 is a wasteful number, since it uses less digits than its factorization.

90282528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90282528 is about 9501.7118457676. The cubic root of 90282528 is about 448.6089190096.

The spelling of 90282528 in words is "ninety million, two hundred eighty-two thousand, five hundred twenty-eight".