8492838120 has 768 divisors, whose sum is σ = 33730560000. Its totient is φ = 1892367360.

The previous prime is 8492838091. The next prime is 8492838127. The reversal of 8492838120 is 218382948.

8492838120 is a `hidden beast` number, since 8 + 492 + 8 + 38 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8492838127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107504241 + ... + 107504319.

It is an arithmetic number, because the mean of its divisors is an integer number (43920000).

Almost surely, 2^8492838120 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 8492838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16865280000).

8492838120 is an abundant number, since it is smaller than the sum of its proper divisors (25237721880).

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

8492838120 is a wasteful number, since it uses less digits than its factorization.

8492838120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8492838120 is about 92156.5956402470. The cubic root of 8492838120 is about 2040.2542070759.

The spelling of 8492838120 in words is "eight billion, four hundred ninety-two million, eight hundred thirty-eight thousand, one hundred twenty".