11082528 has 96 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 3628800.

The previous prime is 11082523. The next prime is 11082551. The reversal of 11082528 is 82528011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11082523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87201 + ... + 87327.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 2^11082528 is an apocalyptic number.

11082528 is a gapful number since it is divisible by the number (18) 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 11082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

11082528 is an abundant number, since it is smaller than the sum of its proper divisors (21818592).

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

11082528 is a wasteful number, since it uses less digits than its factorization.

11082528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11082528 is about 3329.0431057588. The cubic root of 11082528 is about 222.9528076184.

The spelling of 11082528 in words is "eleven million, eighty-two thousand, five hundred twenty-eight".