9952128 has 96 divisors (see below), whose sum is σ = 29357640. Its totient is φ = 3234816.

The previous prime is 9952127. The next prime is 9952153. The reversal of 9952128 is 8212599.

9952128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9952092 and 9952101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60975 + ... + 61137.

Almost surely, 2^9952128 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 9952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678820).

9952128 is an abundant number, since it is smaller than the sum of its proper divisors (19405512).

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

9952128 is a wasteful number, since it uses less digits than its factorization.

9952128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 9952128 is about 3154.6993517608. The cubic root of 9952128 is about 215.0991286169.

The spelling of 9952128 in words is "nine million, nine hundred fifty-two thousand, one hundred twenty-eight".