9728877480 has 192 divisors, whose sum is σ = 34073706240. Its totient is φ = 2215761408.

The previous prime is 9728877461. The next prime is 9728877503. The reversal of 9728877480 is 847788279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720017 + ... + 1725663.

It is an arithmetic number, because the mean of its divisors is an integer number (177467220).

Almost surely, 2^9728877480 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 9728877480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17036853120).

9728877480 is an abundant number, since it is smaller than the sum of its proper divisors (24344828760).

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

9728877480 is a wasteful number, since it uses less digits than its factorization.

9728877480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 60.

The square root of 9728877480 is about 98635.0722613412. The cubic root of 9728877480 is about 2134.7855020554.

The spelling of 9728877480 in words is "nine billion, seven hundred twenty-eight million, eight hundred seventy-seven thousand, four hundred eighty".