9928679172048 has 480 divisors, whose sum is σ = 36933161126400. Its totient is φ = 2528255794176.

The previous prime is 9928679172043. The next prime is 9928679172121. The reversal of 9928679172048 is 8402719768299.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928679172043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7358265 + ... + 8602407.

It is an arithmetic number, because the mean of its divisors is an integer number (76944085680).

Almost surely, 2^{9928679172048} is an apocalyptic number.

9928679172048 is a gapful number since it is divisible by the number (98) 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 9928679172048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466580563200).

9928679172048 is an abundant number, since it is smaller than the sum of its proper divisors (27004481954352).

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

9928679172048 is a wasteful number, since it uses less digits than its factorization.

9928679172048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244216 (or 1244197 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

It can be divided in two parts, 9928 and 679172048, that added together give a palindrome (679181976).

The spelling of 9928679172048 in words is "nine trillion, nine hundred twenty-eight billion, six hundred seventy-nine million, one hundred seventy-two thousand, forty-eight".