83265728 has 168 divisors, whose sum is σ = 223003872. Its totient is φ = 29933568.

The previous prime is 83265719. The next prime is 83265731. The reversal of 83265728 is 82756238.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871218 + ... + 2871246.

It is an arithmetic number, because the mean of its divisors is an integer number (1327404).

Almost surely, 2^83265728 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 83265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111501936).

83265728 is an abundant number, since it is smaller than the sum of its proper divisors (139738144).

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

83265728 is a wasteful number, since it uses less digits than its factorization.

83265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 83265728 is about 9125.0056438339. The cubic root of 83265728 is about 436.6720830153.

The spelling of 83265728 in words is "eighty-three million, two hundred sixty-five thousand, seven hundred twenty-eight".