82724799742728 has 256 divisors, whose sum is σ = 246819905740800. Its totient is φ = 22774799324160.

The previous prime is 82724799742727. The next prime is 82724799742841.

82724799742728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (82724799742721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85466325 + ... + 86428827.

It is an arithmetic number, because the mean of its divisors is an integer number (964140256800).

Almost surely, 2^{82724799742728} is an apocalyptic number.

82724799742728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82724799742728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123409952870400).

82724799742728 is an abundant number, since it is smaller than the sum of its proper divisors (164095105998072).

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

82724799742728 is a wasteful number, since it uses less digits than its factorization.

82724799742728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962932 (or 962928 counting only the distinct ones).

The product of its digits is 3186376704, while the sum is 78.

The spelling of 82724799742728 in words is "eighty-two trillion, seven hundred twenty-four billion, seven hundred ninety-nine million, seven hundred forty-two thousand, seven hundred twenty-eight".