7828428816 has 120 divisors (see below), whose sum is σ = 24332177760. Its totient is φ = 2408724864.

The previous prime is 7828428799. The next prime is 7828428827. The reversal of 7828428816 is 6188248287.

7828428816 is a `hidden beast` number, since 78 + 284 + 288 + 16 = 666.

It is a super-2 number, since 2×7828428816² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19395 + ... + 126621.

It is an arithmetic number, because the mean of its divisors is an integer number (202768148).

Almost surely, 2^7828428816 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 7828428816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166088880).

7828428816 is an abundant number, since it is smaller than the sum of its proper divisors (16503748944).

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

7828428816 is a wasteful number, since it uses less digits than its factorization.

7828428816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107270 (or 107245 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 7828428816 is about 88478.4087560349. The cubic root of 7828428816 is about 1985.5989551735.

The spelling of 7828428816 in words is "seven billion, eight hundred twenty-eight million, four hundred twenty-eight thousand, eight hundred sixteen".