85581828 has 18 divisors (see below), whose sum is σ = 216331934. Its totient is φ = 28527264.

The previous prime is 85581823. The next prime is 85581829. The reversal of 85581828 is 82818558.

It can be written as a sum of positive squares in only one way, i.e., 66292164 + 19289664 = 8142^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (85581823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1188601 + ... + 1188672.

Almost surely, 2^85581828 is an apocalyptic number.

It is an amenable number.

85581828 is an abundant number, since it is smaller than the sum of its proper divisors (130750106).

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

85581828 is a wasteful number, since it uses less digits than its factorization.

85581828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377283 (or 2377278 counting only the distinct ones).

The product of its digits is 204800, while the sum is 45.

The square root of 85581828 is about 9251.0446977625. The cubic root of 85581828 is about 440.6839020095.

The spelling of 85581828 in words is "eighty-five million, five hundred eighty-one thousand, eight hundred twenty-eight".