83344128 has 144 divisors (see below), whose sum is σ = 260977920. Its totient is φ = 23113728.

The previous prime is 83344123. The next prime is 83344133. The reversal of 83344128 is 82144338.

It is an interprime number because it is at equal distance from previous prime (83344123) and next prime (83344133).

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

It is not an unprimeable number, because it can be changed into a prime (83344123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198703 + ... + 199121.

Almost surely, 2^83344128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488960).

83344128 is an abundant number, since it is smaller than the sum of its proper divisors (177633792).

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

83344128 is a wasteful number, since it uses less digits than its factorization.

83344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 83344128 is about 9129.3005208504. The cubic root of 83344128 is about 436.8090915737.

The spelling of 83344128 in words is "eighty-three million, three hundred forty-four thousand, one hundred twenty-eight".