92338337728 has 672 divisors, whose sum is σ = 259186314240. Its totient is φ = 32188907520.

The previous prime is 92338337723. The next prime is 92338337753. The reversal of 92338337728 is 82773383329.

It is a super-2 number, since 2×92338337728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92338337723) 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, 1264908700 + ... + 1264908772.

It is an arithmetic number, because the mean of its divisors is an integer number (385693920).

Almost surely, 2^92338337728 is an apocalyptic number.

92338337728 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 92338337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129593157120).

92338337728 is an abundant number, since it is smaller than the sum of its proper divisors (166847976512).

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

92338337728 is a wasteful number, since it uses less digits than its factorization.

92338337728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 55.

The spelling of 92338337728 in words is "ninety-two billion, three hundred thirty-eight million, three hundred thirty-seven thousand, seven hundred twenty-eight".