8385400128 has 224 divisors, whose sum is σ = 25865376768. Its totient is φ = 2348236800.

The previous prime is 8385400123. The next prime is 8385400129. The reversal of 8385400128 is 8210045838.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8385400123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17077963 + ... + 17078453.

It is an arithmetic number, because the mean of its divisors is an integer number (115470432).

Almost surely, 2^8385400128 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 8385400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932688384).

8385400128 is an abundant number, since it is smaller than the sum of its proper divisors (17479976640).

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

8385400128 is a wasteful number, since it uses less digits than its factorization.

8385400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 8385400128 is about 91571.8304283583. The cubic root of 8385400128 is about 2031.6143118604.

The spelling of 8385400128 in words is "eight billion, three hundred eighty-five million, four hundred thousand, one hundred twenty-eight".