9953948928 has 144 divisors (see below), whose sum is σ = 33029208576. Its totient is φ = 2585425920.

The previous prime is 9953948899. The next prime is 9953948929. The reversal of 9953948928 is 8298493599.

It is a super-2 number, since 2×9953948928² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953948929) 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, 25026 + ... + 143297.

It is an arithmetic number, because the mean of its divisors is an integer number (229369504).

Almost surely, 2^9953948928 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 9953948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514604288).

9953948928 is an abundant number, since it is smaller than the sum of its proper divisors (23075259648).

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

9953948928 is a wasteful number, since it uses less digits than its factorization.

9953948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168360 (or 168346 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 66.

The square root of 9953948928 is about 99769.4789402050. The cubic root of 9953948928 is about 2151.1224662005.

The spelling of 9953948928 in words is "nine billion, nine hundred fifty-three million, nine hundred forty-eight thousand, nine hundred twenty-eight".