7892381952 has 216 divisors, whose sum is σ = 28007738304. Its totient is φ = 2081452032.

The previous prime is 7892381941. The next prime is 7892381957. The reversal of 7892381952 is 2591832987.

It is not an unprimeable number, because it can be changed into a prime (7892381957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190843 + ... + 228485.

Almost surely, 2^7892381952 is an apocalyptic number.

7892381952 is a gapful number since it is divisible by the number (72) 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 7892381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003869152).

7892381952 is an abundant number, since it is smaller than the sum of its proper divisors (20115356352).

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

7892381952 is a wasteful number, since it uses less digits than its factorization.

7892381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37685 (or 37668 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 7892381952 is about 88839.0789686611. The cubic root of 7892381952 is about 1990.9913120300.

The spelling of 7892381952 in words is "seven billion, eight hundred ninety-two million, three hundred eighty-one thousand, nine hundred fifty-two".