83449728 has 96 divisors (see below), whose sum is σ = 242737560. Its totient is φ = 27515904.

The previous prime is 83449711. The next prime is 83449741. The reversal of 83449728 is 82794438.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122926 + ... + 123602.

Almost surely, 2^83449728 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 83449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121368780).

83449728 is an abundant number, since it is smaller than the sum of its proper divisors (159287832).

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

83449728 is a wasteful number, since it uses less digits than its factorization.

83449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 789 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83449728 is about 9135.0822656394. The cubic root of 83449728 is about 436.9934979754.

The spelling of 83449728 in words is "eighty-three million, four hundred forty-nine thousand, seven hundred twenty-eight".