83413128 has 32 divisors (see below), whose sum is σ = 209230560. Its totient is φ = 27711360.

The previous prime is 83413123. The next prime is 83413129. The reversal of 83413128 is 82131438.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 83413095 and 83413104.

It is not an unprimeable number, because it can be changed into a prime (83413123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708 + ... + 13028.

It is an arithmetic number, because the mean of its divisors is an integer number (6538455).

Almost surely, 2^83413128 is an apocalyptic number.

It is an amenable number.

83413128 is an abundant number, since it is smaller than the sum of its proper divisors (125817432).

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

83413128 is a wasteful number, since it uses less digits than its factorization.

83413128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11633 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 83413128 is about 9133.0787799077. The cubic root of 83413128 is about 436.9296020178.

The spelling of 83413128 in words is "eighty-three million, four hundred thirteen thousand, one hundred twenty-eight".