7938217728 has 360 divisors, whose sum is σ = 28651990752. Its totient is φ = 2133983232.

The previous prime is 7938217681. The next prime is 7938217733. The reversal of 7938217728 is 8277128397.

7938217728 is a `hidden beast` number, since 79 + 382 + 177 + 28 = 666.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2465976 + ... + 2469192.

Almost surely, 2^7938217728 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 7938217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325995376).

7938217728 is an abundant number, since it is smaller than the sum of its proper divisors (20713773024).

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

7938217728 is a wasteful number, since it uses less digits than its factorization.

7938217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3246 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 7938217728 is about 89096.6763016444. The cubic root of 7938217728 is about 1994.8381665322.

The spelling of 7938217728 in words is "seven billion, nine hundred thirty-eight million, two hundred seventeen thousand, seven hundred twenty-eight".