88528180 has 48 divisors (see below), whose sum is σ = 211997520. Its totient is φ = 30763008.

The previous prime is 88528171. The next prime is 88528183. The reversal of 88528180 is 8182588.

It can be written as a sum of positive squares in 8 ways, for example, as 5134756 + 83393424 = 2266^2 + 9132^2 .

It is a super-2 number, since 2×88528180² = 15674477308224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88528183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5595 + ... + 14434.

It is an arithmetic number, because the mean of its divisors is an integer number (4416615).

Almost surely, 2^88528180 is an apocalyptic number.

It is an amenable number.

88528180 is an abundant number, since it is smaller than the sum of its proper divisors (123469340).

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

88528180 is a wasteful number, since it uses less digits than its factorization.

88528180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20068 (or 20066 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The square root of 88528180 is about 9408.9414920064. The cubic root of 88528180 is about 445.6841389358.

The spelling of 88528180 in words is "eighty-eight million, five hundred twenty-eight thousand, one hundred eighty".