7828970112 has 128 divisors (see below), whose sum is σ = 23392435200. Its totient is φ = 2609563392.

The previous prime is 7828970059. The next prime is 7828970117. The reversal of 7828970112 is 2110798287.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7828970112² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7828970117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 265953 + ... + 293919.

It is an arithmetic number, because the mean of its divisors is an integer number (182753400).

Almost surely, 2^7828970112 is an apocalyptic number.

7828970112 is a gapful number since it is divisible by the number (72) 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 7828970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696217600).

7828970112 is an abundant number, since it is smaller than the sum of its proper divisors (15563465088).

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

7828970112 is an frugal number, since it uses more digits than its factorization.

7828970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28002 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 7828970112 is about 88481.4676189314. The cubic root of 7828970112 is about 1985.6447188052.

The spelling of 7828970112 in words is "seven billion, eight hundred twenty-eight million, nine hundred seventy thousand, one hundred twelve".