92273344128 has 768 divisors, whose sum is σ = 332218080000. Its totient is φ = 25513367040.

The previous prime is 92273344103. The next prime is 92273344139. The reversal of 92273344128 is 82144337229.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

92273344128 is a `hidden beast` number, since 9 + 227 + 3 + 3 + 4 + 412 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2976559473 + ... + 2976559503.

It is an arithmetic number, because the mean of its divisors is an integer number (432575625).

Almost surely, 2^92273344128 is an apocalyptic number.

92273344128 is a gapful number since it is divisible by the number (98) 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 92273344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166109040000).

92273344128 is an abundant number, since it is smaller than the sum of its proper divisors (239944735872).

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

92273344128 is an frugal number, since it uses more digits than its factorization.

92273344128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 43 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 92273344128 in words is "ninety-two billion, two hundred seventy-three million, three hundred forty-four thousand, one hundred twenty-eight".