82761728 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 33792000.

The previous prime is 82761727. The next prime is 82761733. The reversal of 82761728 is 82716728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82761727) 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 7 ways as a sum of consecutive naturals, for example, 329603 + ... + 329853.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^82761728 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 82761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

82761728 is an abundant number, since it is smaller than the sum of its proper divisors (115370752).

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

82761728 is a wasteful number, since it uses less digits than its factorization.

82761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its digits is 75264, while the sum is 41.

The square root of 82761728 is about 9097.3473056710. The cubic root of 82761728 is about 435.7892537031.

The spelling of 82761728 in words is "eighty-two million, seven hundred sixty-one thousand, seven hundred twenty-eight".