83849328 has 60 divisors (see below), whose sum is σ = 236045160. Its totient is φ = 27785088.

The previous prime is 83849323. The next prime is 83849347. The reversal of 83849328 is 82394838.

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 (83849323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24150 + ... + 27402.

It is an arithmetic number, because the mean of its divisors is an integer number (3934086).

Almost surely, 2^83849328 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 83849328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118022580).

83849328 is an abundant number, since it is smaller than the sum of its proper divisors (152195832).

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

83849328 is a wasteful number, since it uses less digits than its factorization.

83849328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3437 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 83849328 is about 9156.9278691054. The cubic root of 83849328 is about 437.6899037343.

The spelling of 83849328 in words is "eighty-three million, eight hundred forty-nine thousand, three hundred twenty-eight".