9912284928 has 864 divisors, whose sum is σ = 38998342656. Its totient is φ = 2436562944.

The previous prime is 9912284909. The next prime is 9912284947. The reversal of 9912284928 is 8294822199.

It is an interprime number because it is at equal distance from previous prime (9912284909) and next prime (9912284947).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96235725 + ... + 96235827.

Almost surely, 2^9912284928 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 9912284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499171328).

9912284928 is an abundant number, since it is smaller than the sum of its proper divisors (29086057728).

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

9912284928 is a wasteful number, since it uses less digits than its factorization.

9912284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 9912284928 is about 99560.4586570391. The cubic root of 9912284928 is about 2148.1169687560.

The spelling of 9912284928 in words is "nine billion, nine hundred twelve million, two hundred eighty-four thousand, nine hundred twenty-eight".