7928347392 has 648 divisors, whose sum is σ = 29329723920. Its totient is φ = 2131992576.

The previous prime is 7928347391. The next prime is 7928347397. The reversal of 7928347392 is 2937438297.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7928347392 is a `hidden beast` number, since 7 + 9 + 2 + 83 + 473 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (7928347391) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466373368 + ... + 466373384.

Almost surely, 2^7928347392 is an apocalyptic number.

7928347392 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 7928347392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664861960).

7928347392 is an abundant number, since it is smaller than the sum of its proper divisors (21401376528).

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

7928347392 is an frugal number, since it uses more digits than its factorization.

7928347392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 7928347392 is about 89041.2679155008. The cubic root of 7928347392 is about 1994.0110333736.

The spelling of 7928347392 in words is "seven billion, nine hundred twenty-eight million, three hundred forty-seven thousand, three hundred ninety-two".