7952268948 has 96 divisors (see below), whose sum is σ = 20316199680. Its totient is φ = 2406190080.

The previous prime is 7952268937. The next prime is 7952269057. The reversal of 7952268948 is 8498622597.

It is a junction number, because it is equal to n+sod(n) for n = 7952268891 and 7952268900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6168688 + ... + 6169976.

It is an arithmetic number, because the mean of its divisors is an integer number (211627080).

Almost surely, 2^7952268948 is an apocalyptic number.

7952268948 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7952268948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158099840).

7952268948 is an abundant number, since it is smaller than the sum of its proper divisors (12363930732).

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

7952268948 is a wasteful number, since it uses less digits than its factorization.

7952268948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The square root of 7952268948 is about 89175.4952215013. The cubic root of 7952268948 is about 1996.0144754058.

The spelling of 7952268948 in words is "seven billion, nine hundred fifty-two million, two hundred sixty-eight thousand, nine hundred forty-eight".