82971728 has 40 divisors (see below), whose sum is σ = 186482112. Its totient is φ = 35025408.

The previous prime is 82971709. The next prime is 82971731. The reversal of 82971728 is 82717928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1976 + ... + 13032.

Almost surely, 2^82971728 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 82971728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93241056).

82971728 is an abundant number, since it is smaller than the sum of its proper divisors (103510384).

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

82971728 is a wasteful number, since it uses less digits than its factorization.

82971728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11133 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

The square root of 82971728 is about 9108.8818194112. The cubic root of 82971728 is about 436.1575336245.

The spelling of 82971728 in words is "eighty-two million, nine hundred seventy-one thousand, seven hundred twenty-eight".