82283493600 has 1728 divisors, whose sum is σ = 393094840320. Its totient is φ = 16286054400.

The previous prime is 82283493587. The next prime is 82283493601. The reversal of 82283493600 is 639438228.

82283493600 is a `hidden beast` number, since 8 + 2 + 2 + 8 + 34 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82283493601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 344282281 + ... + 344282519.

It is an arithmetic number, because the mean of its divisors is an integer number (227485440).

Almost surely, 2^82283493600 is an apocalyptic number.

82283493600 is a gapful number since it is divisible by the number (80) 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 82283493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196547420160).

82283493600 is an abundant number, since it is smaller than the sum of its proper divisors (310811346720).

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

82283493600 is a wasteful number, since it uses less digits than its factorization.

82283493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 82283493600 in words is "eighty-two billion, two hundred eighty-three million, four hundred ninety-three thousand, six hundred".