82016928 has 192 divisors, whose sum is σ = 278691840. Its totient is φ = 22982400.

The previous prime is 82016923. The next prime is 82016929. The reversal of 82016928 is 82961028.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82016892 and 82016901.

It is not an unprimeable number, because it can be changed into a prime (82016923) 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 31 ways as a sum of consecutive naturals, for example, 429313 + ... + 429503.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^82016928 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 82016928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

82016928 is an abundant number, since it is smaller than the sum of its proper divisors (196674912).

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

82016928 is a wasteful number, since it uses less digits than its factorization.

82016928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82016928 is about 9056.3197823398. The cubic root of 82016928 is about 434.4780422039.

It can be divided in two parts, 82016 and 928, that added together give a square (82944 = 288²).

The spelling of 82016928 in words is "eighty-two million, sixteen thousand, nine hundred twenty-eight".