82708128 has 120 divisors (see below), whose sum is σ = 257687892. Its totient is φ = 25933824.

The previous prime is 82708103. The next prime is 82708163. The reversal of 82708128 is 82180728.

It can be written as a sum of positive squares in 2 ways, for example, as 79067664 + 3640464 = 8892^2 + 1908^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 82708092 and 82708101.

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 19 ways as a sum of consecutive naturals, for example, 43126 + ... + 45002.

Almost surely, 2^82708128 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 82708128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128843946).

82708128 is an abundant number, since it is smaller than the sum of its proper divisors (174979764).

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

82708128 is a wasteful number, since it uses less digits than its factorization.

82708128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82708128 is about 9094.4009148487. The cubic root of 82708128 is about 435.6951548606.

The spelling of 82708128 in words is "eighty-two million, seven hundred eight thousand, one hundred twenty-eight".