7952827392 has 264 divisors, whose sum is σ = 25383062016. Its totient is φ = 2385444864.

The previous prime is 7952827361. The next prime is 7952827411. The reversal of 7952827392 is 2937282597.

7952827392 is a `hidden beast` number, since 7 + 9 + 528 + 27 + 3 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3602353 + ... + 3604559.

Almost surely, 2^7952827392 is an apocalyptic number.

7952827392 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 7952827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12691531008).

7952827392 is an abundant number, since it is smaller than the sum of its proper divisors (17430234624).

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

7952827392 is a wasteful number, since it uses less digits than its factorization.

7952827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2252 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 7952827392 is about 89178.6263181935. The cubic root of 7952827392 is about 1996.0611973424.

The spelling of 7952827392 in words is "seven billion, nine hundred fifty-two million, eight hundred twenty-seven thousand, three hundred ninety-two".