7916528448 has 252 divisors, whose sum is σ = 25383398560. Its totient is φ = 2351960064.

The previous prime is 7916528443. The next prime is 7916528453. The reversal of 7916528448 is 8448256197.

It is a happy number.

7916528448 is a `hidden beast` number, since 79 + 1 + 6 + 528 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (7916528443) and next prime (7916528453).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7916528394 and 7916528403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7916528443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3161565 + ... + 3164067.

Almost surely, 2^7916528448 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 7916528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12691699280).

7916528448 is an abundant number, since it is smaller than the sum of its proper divisors (17466870112).

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

7916528448 is a wasteful number, since it uses less digits than its factorization.

7916528448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2544 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 7916528448 is about 88974.8753750181. The cubic root of 7916528448 is about 1993.0197034057.

The spelling of 7916528448 in words is "seven billion, nine hundred sixteen million, five hundred twenty-eight thousand, four hundred forty-eight".