9988629120 has 192 divisors, whose sum is σ = 34556090400. Its totient is φ = 2658686976.

The previous prime is 9988629103. The next prime is 9988629127. The reversal of 9988629120 is 219268899.

9988629120 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 629 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (9988629127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3932811 + ... + 3935349.

Almost surely, 2^9988629120 is an apocalyptic number.

9988629120 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 9988629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278045200).

9988629120 is an abundant number, since it is smaller than the sum of its proper divisors (24567461280).

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

9988629120 is a wasteful number, since it uses less digits than its factorization.

9988629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9988629120 is about 99943.1294286906. The cubic root of 9988629120 is about 2153.6177863789.

The spelling of 9988629120 in words is "nine billion, nine hundred eighty-eight million, six hundred twenty-nine thousand, one hundred twenty".