2828162016 has 72 divisors (see below), whose sum is σ = 8061515280. Its totient is φ = 940502016.

The previous prime is 2828162011. The next prime is 2828162017. The reversal of 2828162016 is 6102618282.

2828162016 is a `hidden beast` number, since 2 + 8 + 28 + 1 + 620 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828162011) 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 11 ways as a sum of consecutive naturals, for example, 113365 + ... + 136043.

It is an arithmetic number, because the mean of its divisors is an integer number (111965490).

Almost surely, 2^2828162016 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 2828162016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030757640).

2828162016 is an abundant number, since it is smaller than the sum of its proper divisors (5233353264).

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

2828162016 is a wasteful number, since it uses less digits than its factorization.

2828162016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23128 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2828162016 is about 53180.4664891161. The cubic root of 2828162016 is about 1414.1693762015.

The spelling of 2828162016 in words is "two billion, eight hundred twenty-eight million, one hundred sixty-two thousand, sixteen".