9948774528 has 384 divisors, whose sum is σ = 37577779200. Its totient is φ = 2447677440.

The previous prime is 9948774503. The next prime is 9948774529. The reversal of 9948774528 is 8254778499.

9948774528 is a `hidden beast` number, since 99 + 487 + 7 + 45 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9948774528² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9948774529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682425 + ... + 1688327.

It is an arithmetic number, because the mean of its divisors is an integer number (97858800).

Almost surely, 2^9948774528 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 9948774528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18788889600).

9948774528 is an abundant number, since it is smaller than the sum of its proper divisors (27629004672).

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

9948774528 is a wasteful number, since it uses less digits than its factorization.

9948774528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5945 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The square root of 9948774528 is about 99743.5437910645. The cubic root of 9948774528 is about 2150.7496594734.

The spelling of 9948774528 in words is "nine billion, nine hundred forty-eight million, seven hundred seventy-four thousand, five hundred twenty-eight".