9973128 has 64 divisors (see below), whose sum is σ = 27961920. Its totient is φ = 2937600.

The previous prime is 9973123. The next prime is 9973133. The reversal of 9973128 is 8213799.

It is an interprime number because it is at equal distance from previous prime (9973123) and next prime (9973133).

It is not an unprimeable number, because it can be changed into a prime (9973121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9258 + ... + 10278.

It is an arithmetic number, because the mean of its divisors is an integer number (436905).

Almost surely, 2^9973128 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 9973128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980960).

9973128 is an abundant number, since it is smaller than the sum of its proper divisors (17988792).

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

9973128 is a wasteful number, since it uses less digits than its factorization.

9973128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 9973128 is about 3158.0259656944. The cubic root of 9973128 is about 215.2503159895.

It can be divided in two parts, 9973 and 128, that added together give a palindrome (10101).

The spelling of 9973128 in words is "nine million, nine hundred seventy-three thousand, one hundred twenty-eight".