9932912820 has 96 divisors (see below), whose sum is σ = 30933100800. Its totient is φ = 2646145152.

The previous prime is 9932912819. The next prime is 9932912897. The reversal of 9932912820 is 282192399.

It is a happy number.

It is a super-3 number, since 3×9932912820³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568657 + ... + 585863.

It is an arithmetic number, because the mean of its divisors is an integer number (322219800).

Almost surely, 2^9932912820 is an apocalyptic number.

9932912820 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 9932912820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466550400).

9932912820 is an abundant number, since it is smaller than the sum of its proper divisors (21000187980).

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

9932912820 is a wasteful number, since it uses less digits than its factorization.

9932912820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18294 (or 18286 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9932912820 is about 99663.9996187189. Note that the first 3 decimals coincide. The cubic root of 9932912820 is about 2149.6060442772.

The spelling of 9932912820 in words is "nine billion, nine hundred thirty-two million, nine hundred twelve thousand, eight hundred twenty".