82923528492 has 288 divisors, whose sum is σ = 269390499840. Its totient is φ = 21930289920.

The previous prime is 82923528473. The next prime is 82923528497. The reversal of 82923528492 is 29482532928.

It is a happy number.

82923528492 is a `hidden beast` number, since 8 + 2 + 9 + 23 + 528 + 4 + 92 = 666.

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 (82923528497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3762208 + ... + 3784184.

It is an arithmetic number, because the mean of its divisors is an integer number (935383680).

Almost surely, 2^82923528492 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 82923528492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134695249920).

82923528492 is an abundant number, since it is smaller than the sum of its proper divisors (186466971348).

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

82923528492 is a wasteful number, since it uses less digits than its factorization.

82923528492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22058 (or 22043 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 82923528492 in words is "eighty-two billion, nine hundred twenty-three million, five hundred twenty-eight thousand, four hundred ninety-two".