9726428160 has 440 divisors, whose sum is σ = 35666928000. Its totient is φ = 2533441536.

The previous prime is 9726428147. The next prime is 9726428167. The reversal of 9726428160 is 618246279.

It is a happy number.

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 (9726428167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19491591 + ... + 19492089.

It is an arithmetic number, because the mean of its divisors is an integer number (81061200).

Almost surely, 2^9726428160 is an apocalyptic number.

9726428160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9726428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833464000).

9726428160 is an abundant number, since it is smaller than the sum of its proper divisors (25940499840).

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

9726428160 is a wasteful number, since it uses less digits than its factorization.

9726428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9726428160 is about 98622.6554093936. The cubic root of 9726428160 is about 2134.6063374433.

The spelling of 9726428160 in words is "nine billion, seven hundred twenty-six million, four hundred twenty-eight thousand, one hundred sixty".