82544928 has 96 divisors (see below), whose sum is σ = 235799424. Its totient is φ = 25178112.

The previous prime is 82544897. The next prime is 82544929. The reversal of 82544928 is 82944528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 82544928.

It is not an unprimeable number, because it can be changed into a prime (82544929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59701 + ... + 61067.

It is an arithmetic number, because the mean of its divisors is an integer number (2456244).

Almost surely, 2^82544928 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 82544928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117899712).

82544928 is an abundant number, since it is smaller than the sum of its proper divisors (153254496).

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

82544928 is a wasteful number, since it uses less digits than its factorization.

82544928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1426 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 82544928 is about 9085.4239306705. The cubic root of 82544928 is about 435.4083943739.

It can be divided in two parts, 825 and 44928, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 82544928 in words is "eighty-two million, five hundred forty-four thousand, nine hundred twenty-eight".