92328837120 has 960 divisors, whose sum is σ = 374330208000. Its totient is φ = 21530935296.

The previous prime is 92328837119. The next prime is 92328837127. The reversal of 92328837120 is 2173882329.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×92328837120² (a number of 23 digits) contains 22 as substring.

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 (92328837127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4859412471 + ... + 4859412489.

It is an arithmetic number, because the mean of its divisors is an integer number (389927300).

Almost surely, 2^92328837120 is an apocalyptic number.

92328837120 is a gapful number since it is divisible by the number (90) 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 92328837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187165104000).

92328837120 is an abundant number, since it is smaller than the sum of its proper divisors (282001370880).

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

92328837120 is an equidigital number, since it uses as much as digits as its factorization.

92328837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 92328837120 in words is "ninety-two billion, three hundred twenty-eight million, eight hundred thirty-seven thousand, one hundred twenty".