83939328 has 260 divisors, whose sum is σ = 285439968. Its totient is φ = 24330240.

The previous prime is 83939327. The next prime is 83939329. The reversal of 83939328 is 82393938.

It is an interprime number because it is at equal distance from previous prime (83939327) and next prime (83939329).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83939327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3649525 + ... + 3649547.

Almost surely, 2^83939328 is an apocalyptic number.

83939328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142719984).

83939328 is an abundant number, since it is smaller than the sum of its proper divisors (201500640).

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

83939328 is a wasteful number, since it uses less digits than its factorization.

83939328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 83939328 is about 9161.8408630580. The cubic root of 83939328 is about 437.8464464551.

The spelling of 83939328 in words is "eighty-three million, nine hundred thirty-nine thousand, three hundred twenty-eight".