83128180 has 12 divisors (see below), whose sum is σ = 174569220. Its totient is φ = 33251264.

The previous prime is 83128169. The next prime is 83128189. The reversal of 83128180 is 8182138.

It can be written as a sum of positive squares in 2 ways, for example, as 52591504 + 30536676 = 7252^2 + 5526^2 .

It is a super-2 number, since 2×83128180² = 13820588620224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83128189) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2078185 + ... + 2078224.

It is an arithmetic number, because the mean of its divisors is an integer number (14547435).

Almost surely, 2^83128180 is an apocalyptic number.

It is an amenable number.

83128180 is an abundant number, since it is smaller than the sum of its proper divisors (91441040).

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

83128180 is a wasteful number, since it uses less digits than its factorization.

83128180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156418 (or 4156416 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 83128180 is about 9117.4656566395. The cubic root of 83128180 is about 436.4315019394.

The spelling of 83128180 in words is "eighty-three million, one hundred twenty-eight thousand, one hundred eighty".