9742777828 has 96 divisors (see below), whose sum is σ = 20664483840. Its totient is φ = 3929333760.

The previous prime is 9742777817. The next prime is 9742777859. The reversal of 9742777828 is 8287772479.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12669028 + ... + 12669796.

It is an arithmetic number, because the mean of its divisors is an integer number (215255040).

Almost surely, 2^9742777828 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 9742777828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332241920).

9742777828 is an abundant number, since it is smaller than the sum of its proper divisors (10921706012).

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

9742777828 is a wasteful number, since it uses less digits than its factorization.

9742777828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its digits is 22127616, while the sum is 61.

The square root of 9742777828 is about 98705.5106263070. The cubic root of 9742777828 is about 2135.8017254950.

The spelling of 9742777828 in words is "nine billion, seven hundred forty-two million, seven hundred seventy-seven thousand, eight hundred twenty-eight".