92082584352 has 384 divisors, whose sum is σ = 297520957440. Its totient is φ = 24597872640.

The previous prime is 92082584327. The next prime is 92082584383. The reversal of 92082584352 is 25348528029.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 17071768 + ... + 17077160.

It is an arithmetic number, because the mean of its divisors is an integer number (774794160).

Almost surely, 2^92082584352 is an apocalyptic number.

92082584352 is a gapful number since it is divisible by the number (92) 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 92082584352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148760478720).

92082584352 is an abundant number, since it is smaller than the sum of its proper divisors (205438373088).

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

92082584352 is a wasteful number, since it uses less digits than its factorization.

92082584352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 92082584352 in words is "ninety-two billion, eighty-two million, five hundred eighty-four thousand, three hundred fifty-two".