96582528 has 288 divisors, whose sum is σ = 340119000. Its totient is φ = 26191872.

The previous prime is 96582527. The next prime is 96582583. The reversal of 96582528 is 82528569.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (345600) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96582527) 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, 1636963 + ... + 1637021.

Almost surely, 2^96582528 is an apocalyptic number.

96582528 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170059500).

96582528 is an abundant number, since it is smaller than the sum of its proper divisors (243536472).

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

96582528 is a wasteful number, since it uses less digits than its factorization.

96582528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

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

The square root of 96582528 is about 9827.6410190849. The cubic root of 96582528 is about 458.8099801545.

The spelling of 96582528 in words is "ninety-six million, five hundred eighty-two thousand, five hundred twenty-eight".