9500728680 has 256 divisors, whose sum is σ = 33517670400. Its totient is φ = 2388798720.

The previous prime is 9500728673. The next prime is 9500728691. The reversal of 9500728680 is 868270059.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1760947 + ... + 1766333.

It is an arithmetic number, because the mean of its divisors is an integer number (130928400).

Almost surely, 2^9500728680 is an apocalyptic number.

9500728680 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 9500728680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758835200).

9500728680 is an abundant number, since it is smaller than the sum of its proper divisors (24016941720).

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

9500728680 is a wasteful number, since it uses less digits than its factorization.

9500728680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9500728680 is about 97471.6814259403. The cubic root of 9500728680 is about 2117.9659409172.

The spelling of 9500728680 in words is "nine billion, five hundred million, seven hundred twenty-eight thousand, six hundred eighty".