9286728192 has 320 divisors, whose sum is σ = 33076454400. Its totient is φ = 2513203200.

The previous prime is 9286728181. The next prime is 9286728197. The reversal of 9286728192 is 2918276829.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9286728197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1836067 + ... + 1841117.

It is an arithmetic number, because the mean of its divisors is an integer number (103363920).

Almost surely, 2^9286728192 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 9286728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538227200).

9286728192 is an abundant number, since it is smaller than the sum of its proper divisors (23789726208).

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

9286728192 is a wasteful number, since it uses less digits than its factorization.

9286728192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5082 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 9286728192 is about 96367.6719237318. The cubic root of 9286728192 is about 2101.9428876302.

The spelling of 9286728192 in words is "nine billion, two hundred eighty-six million, seven hundred twenty-eight thousand, one hundred ninety-two".