82928736 has 72 divisors (see below), whose sum is σ = 257277384. Its totient is φ = 25128960.

The previous prime is 82928723. The next prime is 82928743. The reversal of 82928736 is 63782928.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×82928736³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82928691 and 82928700.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9921 + ... + 16256.

It is an arithmetic number, because the mean of its divisors is an integer number (3573297).

Almost surely, 2^82928736 is an apocalyptic number.

It is an amenable number.

82928736 is an abundant number, since it is smaller than the sum of its proper divisors (174348648).

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

82928736 is a wasteful number, since it uses less digits than its factorization.

82928736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26204 (or 26193 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 82928736 is about 9106.5216191475. The cubic root of 82928736 is about 436.0821885853.

The spelling of 82928736 in words is "eighty-two million, nine hundred twenty-eight thousand, seven hundred thirty-six".