7828275000 has 768 divisors, whose sum is σ = 31917957120. Its totient is φ = 1555200000.

The previous prime is 7828274999. The next prime is 7828275023. The reversal of 7828275000 is 5728287.

It is a super-2 number, since 2×7828275000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 7828275000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211574982 + ... + 211575018.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 2^7828275000 is an apocalyptic number.

7828275000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7828275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

7828275000 is an abundant number, since it is smaller than the sum of its proper divisors (24089682120).

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

7828275000 is a wasteful number, since it uses less digits than its factorization.

7828275000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 7828275000 is about 88477.5395227512. The cubic root of 7828275000 is about 1985.5859504826.

The spelling of 7828275000 in words is "seven billion, eight hundred twenty-eight million, two hundred seventy-five thousand".