82305601728 has 224 divisors, whose sum is σ = 264537529344. Its totient is φ = 22046834688.

The previous prime is 82305601681. The next prime is 82305601759. The reversal of 82305601728 is 82710650328.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 82305601728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6002176 + ... + 6015872.

Almost surely, 2^82305601728 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 82305601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132268764672).

82305601728 is an abundant number, since it is smaller than the sum of its proper divisors (182231927616).

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

82305601728 is a wasteful number, since it uses less digits than its factorization.

82305601728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13999 (or 13989 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 82305601728 in words is "eighty-two billion, three hundred five million, six hundred one thousand, seven hundred twenty-eight".