82957728 has 48 divisors (see below), whose sum is σ = 248875200. Its totient is φ = 23702016.

The previous prime is 82957723. The next prime is 82957741. The reversal of 82957728 is 82775928.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82957723) 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 7 ways as a sum of consecutive naturals, for example, 61053 + ... + 62396.

It is an arithmetic number, because the mean of its divisors is an integer number (5184900).

Almost surely, 2^82957728 is an apocalyptic number.

It is an amenable number.

82957728 is an abundant number, since it is smaller than the sum of its proper divisors (165917472).

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

82957728 is a wasteful number, since it uses less digits than its factorization.

82957728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123469 (or 123461 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 82957728 is about 9108.1133062781. The cubic root of 82957728 is about 436.1330009751.

The spelling of 82957728 in words is "eighty-two million, nine hundred fifty-seven thousand, seven hundred twenty-eight".