7828973190 has 160 divisors (see below), whose sum is σ = 21730515840. Its totient is φ = 2020951296.

The previous prime is 7828973189. The next prime is 7828973209. The reversal of 7828973190 is 913798287.

It is a super-2 number, since 2×7828973190² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7162284 + ... + 7163376.

It is an arithmetic number, because the mean of its divisors is an integer number (135815724).

Almost surely, 2^7828973190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7828973190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10865257920).

7828973190 is an abundant number, since it is smaller than the sum of its proper divisors (13901542650).

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

7828973190 is a wasteful number, since it uses less digits than its factorization.

7828973190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 7828973190 is about 88481.4850124025. The cubic root of 7828973190 is about 1985.6449790273.

The spelling of 7828973190 in words is "seven billion, eight hundred twenty-eight million, nine hundred seventy-three thousand, one hundred ninety".