83842128 has 50 divisors (see below), whose sum is σ = 242667194. Its totient is φ = 27946944.

The previous prime is 83842123. The next prime is 83842141. The reversal of 83842128 is 82124838.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70358544 + 13483584 = 8388^2 + 3672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 83842092 and 83842101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83842123) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31051 + ... + 33642.

Almost surely, 2^83842128 is an apocalyptic number.

It is an amenable number.

83842128 is an abundant number, since it is smaller than the sum of its proper divisors (158825066).

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

83842128 is a wasteful number, since it uses less digits than its factorization.

83842128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64713 (or 64698 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 83842128 is about 9156.5347157099. The cubic root of 83842128 is about 437.6773754784.

The spelling of 83842128 in words is "eighty-three million, eight hundred forty-two thousand, one hundred twenty-eight".