82414990728 has 256 divisors, whose sum is σ = 279392256000. Its totient is φ = 22001414400.

The previous prime is 82414990717. The next prime is 82414990751. The reversal of 82414990728 is 82709941428.

82414990728 is a `hidden beast` number, since 82 + 4 + 1 + 499 + 0 + 72 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328973 + ... + 1389603.

It is an arithmetic number, because the mean of its divisors is an integer number (1091376000).

Almost surely, 2^82414990728 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 82414990728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139696128000).

82414990728 is an abundant number, since it is smaller than the sum of its proper divisors (196977265272).

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

82414990728 is a wasteful number, since it uses less digits than its factorization.

82414990728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60713 (or 60703 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 82414990728 in words is "eighty-two billion, four hundred fourteen million, nine hundred ninety thousand, seven hundred twenty-eight".