83827328 has 32 divisors (see below), whose sum is σ = 179849460. Its totient is φ = 38688768.

The previous prime is 83827327. The next prime is 83827349. The reversal of 83827328 is 82372838.

It can be written as a sum of positive squares in 2 ways, for example, as 83320384 + 506944 = 9128^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (83827321) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 23525 + ... + 26852.

Almost surely, 2^83827328 is an apocalyptic number.

It is an amenable number.

83827328 is an abundant number, since it is smaller than the sum of its proper divisors (96022132).

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

83827328 is a wasteful number, since it uses less digits than its factorization.

83827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50404 (or 50392 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 83827328 is about 9155.7265140457. The cubic root of 83827328 is about 437.6516206997.

The spelling of 83827328 in words is "eighty-three million, eight hundred twenty-seven thousand, three hundred twenty-eight".