92538768 has 80 divisors (see below), whose sum is σ = 282660480. Its totient is φ = 25525248.

The previous prime is 92538767. The next prime is 92538791. The reversal of 92538768 is 86783529.

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

It is not an unprimeable number, because it can be changed into a prime (92538767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4996 + ... + 14492.

It is an arithmetic number, because the mean of its divisors is an integer number (3533256).

Almost surely, 2^92538768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141330240).

92538768 is an abundant number, since it is smaller than the sum of its proper divisors (190121712).

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

92538768 is a wasteful number, since it uses less digits than its factorization.

92538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9538 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 92538768 is about 9619.7072720536. The cubic root of 92538768 is about 452.3152576542.

It can be divided in two parts, 925 and 38768, that added together give a palindrome (39693).

The spelling of 92538768 in words is "ninety-two million, five hundred thirty-eight thousand, seven hundred sixty-eight".