82610928 has 50 divisors (see below), whose sum is σ = 239103744. Its totient is φ = 27536544.

The previous prime is 82610911. The next prime is 82610929. The reversal of 82610928 is 82901628.

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 = 82610892 and 82610901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82610929) 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 9 ways as a sum of consecutive naturals, for example, 30576 + ... + 33167.

Almost surely, 2^82610928 is an apocalyptic number.

It is an amenable number.

82610928 is an abundant number, since it is smaller than the sum of its proper divisors (156492816).

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

82610928 is a wasteful number, since it uses less digits than its factorization.

82610928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63763 (or 63748 counting only the distinct ones).

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

The square root of 82610928 is about 9089.0553964645. The cubic root of 82610928 is about 435.5244091677.

It can be divided in two parts, 82610 and 928, that added together give a palindrome (83538).

The spelling of 82610928 in words is "eighty-two million, six hundred ten thousand, nine hundred twenty-eight".