9963828 has 72 divisors (see below), whose sum is σ = 30313920. Its totient is φ = 2695680.

The previous prime is 9963827. The next prime is 9963829. The reversal of 9963828 is 8283699.

9963828 is a `hidden beast` number, since 9 + 9 + 638 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9963827) and next prime (9963829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963823) 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, 3748 + ... + 5828.

Almost surely, 2^9963828 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 9963828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156960).

9963828 is an abundant number, since it is smaller than the sum of its proper divisors (20350092).

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

9963828 is a wasteful number, since it uses less digits than its factorization.

9963828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2112 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9963828 is about 3156.5531834582. The cubic root of 9963828 is about 215.1833877900.

The spelling of 9963828 in words is "nine million, nine hundred sixty-three thousand, eight hundred twenty-eight".