92838042 has 64 divisors (see below), whose sum is σ = 228251520. Its totient is φ = 27734400.

The previous prime is 92838029. The next prime is 92838043. The reversal of 92838042 is 24083829.

It is a junction number, because it is equal to n+sod(n) for n = 92837988 and 92838006.

It is not an unprimeable number, because it can be changed into a prime (92838043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42292 + ... + 44432.

It is an arithmetic number, because the mean of its divisors is an integer number (3566430).

Almost surely, 2^92838042 is an apocalyptic number.

92838042 is the 4818-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92838042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114125760).

92838042 is an abundant number, since it is smaller than the sum of its proper divisors (135413478).

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

92838042 is a wasteful number, since it uses less digits than its factorization.

92838042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 92838042 is about 9635.2499708103. The cubic root of 92838042 is about 452.8023347083.

The spelling of 92838042 in words is "ninety-two million, eight hundred thirty-eight thousand, forty-two".