7838869728 has 192 divisors, whose sum is σ = 22904259840. Its totient is φ = 2336366592.

The previous prime is 7838869723. The next prime is 7838869739. The reversal of 7838869728 is 8279688387.

It is a super-2 number, since 2×7838869728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7838869723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2595003 + ... + 2598021.

It is an arithmetic number, because the mean of its divisors is an integer number (119293020).

Almost surely, 2^7838869728 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 7838869728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11452129920).

7838869728 is an abundant number, since it is smaller than the sum of its proper divisors (15065390112).

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

7838869728 is a wasteful number, since it uses less digits than its factorization.

7838869728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3121 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The square root of 7838869728 is about 88537.3916941311. The cubic root of 7838869728 is about 1986.4813056693.

The spelling of 7838869728 in words is "seven billion, eight hundred thirty-eight million, eight hundred sixty-nine thousand, seven hundred twenty-eight".