28182528 has 144 divisors (see below), whose sum is σ = 89434800. Its totient is φ = 8478720.

The previous prime is 28182523. The next prime is 28182533. The reversal of 28182528 is 82528182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28182523) and next prime (28182533).

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 = 28182492 and 28182501.

It is not an unprimeable number, because it can be changed into a prime (28182523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202683 + ... + 202821.

It is an arithmetic number, because the mean of its divisors is an integer number (621075).

Almost surely, 2^28182528 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 28182528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44717400).

28182528 is an abundant number, since it is smaller than the sum of its proper divisors (61252272).

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

28182528 is a wasteful number, since it uses less digits than its factorization.

28182528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 28182528 is about 5308.7218800762. The cubic root of 28182528 is about 304.3173048884.

The spelling of 28182528 in words is "twenty-eight million, one hundred eighty-two thousand, five hundred twenty-eight".