7838453728 has 96 divisors (see below), whose sum is σ = 18528652800. Its totient is φ = 3191400960.

The previous prime is 7838453719. The next prime is 7838453773. The reversal of 7838453728 is 8273548387.

It is a super-2 number, since 2×7838453728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762543 + ... + 772753.

It is an arithmetic number, because the mean of its divisors is an integer number (193006800).

Almost surely, 2^7838453728 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 7838453728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264326400).

7838453728 is an abundant number, since it is smaller than the sum of its proper divisors (10690199072).

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

7838453728 is a wasteful number, since it uses less digits than its factorization.

7838453728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10392 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 55.

The square root of 7838453728 is about 88535.0423730627. The cubic root of 7838453728 is about 1986.4461649381.

The spelling of 7838453728 in words is "seven billion, eight hundred thirty-eight million, four hundred fifty-three thousand, seven hundred twenty-eight".