2828112864 has 48 divisors (see below), whose sum is σ = 7439040000. Its totient is φ = 940768640.

The previous prime is 2828112853. The next prime is 2828112887. The reversal of 2828112864 is 4682118282.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17137 + ... + 77135.

It is an arithmetic number, because the mean of its divisors is an integer number (154980000).

Almost surely, 2^2828112864 is an apocalyptic number.

2828112864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2828112864 is an abundant number, since it is smaller than the sum of its proper divisors (4610927136).

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

2828112864 is a wasteful number, since it uses less digits than its factorization.

2828112864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60503 (or 60495 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 2828112864 is about 53180.0043625421. The cubic root of 2828112864 is about 1414.1611836421.

The spelling of 2828112864 in words is "two billion, eight hundred twenty-eight million, one hundred twelve thousand, eight hundred sixty-four".