82351729728 has 112 divisors (see below), whose sum is σ = 242175548160. Its totient is φ = 27441879552.

The previous prime is 82351729727. The next prime is 82351729729. The reversal of 82351729728 is 82792715328.

82351729728 is a `hidden beast` number, since 82 + 3 + 517 + 29 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (82351729727) and next prime (82351729729).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82351729721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7758601 + ... + 7769207.

It is an arithmetic number, because the mean of its divisors is an integer number (2162281680).

Almost surely, 2^82351729728 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 82351729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121087774080).

82351729728 is an abundant number, since it is smaller than the sum of its proper divisors (159823818432).

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

82351729728 is a wasteful number, since it uses less digits than its factorization.

82351729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121 (or 15105 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 82351729728 in words is "eighty-two billion, three hundred fifty-one million, seven hundred twenty-nine thousand, seven hundred twenty-eight".