9891628032 has 528 divisors, whose sum is σ = 32931480960. Its totient is φ = 2616852480.

The previous prime is 9891628001. The next prime is 9891628049. The reversal of 9891628032 is 2308261989.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111141844 + ... + 111141932.

Almost surely, 2^9891628032 is an apocalyptic number.

9891628032 is a gapful number since it is divisible by the number (92) 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 9891628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465740480).

9891628032 is an abundant number, since it is smaller than the sum of its proper divisors (23039852928).

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

9891628032 is a wasteful number, since it uses less digits than its factorization.

9891628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 9891628032 is about 99456.6640904470. The cubic root of 9891628032 is about 2146.6237278210.

The spelling of 9891628032 in words is "nine billion, eight hundred ninety-one million, six hundred twenty-eight thousand, thirty-two".