2828414160 has 320 divisors, whose sum is σ = 11446767360. Its totient is φ = 632862720.

The previous prime is 2828414131. The next prime is 2828414203. The reversal of 2828414160 is 614148282.

2828414160 is a `hidden beast` number, since 2 + 82 + 8 + 414 + 160 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 304302 + ... + 313458.

It is an arithmetic number, because the mean of its divisors is an integer number (35771148).

Almost surely, 2^2828414160 is an apocalyptic number.

2828414160 is a gapful number since it is divisible by the number (20) 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 2828414160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723383680).

2828414160 is an abundant number, since it is smaller than the sum of its proper divisors (8618353200).

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

2828414160 is a wasteful number, since it uses less digits than its factorization.

2828414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2828414160 is about 53182.8370811487. The cubic root of 2828414160 is about 1414.2114015788.

The spelling of 2828414160 in words is "two billion, eight hundred twenty-eight million, four hundred fourteen thousand, one hundred sixty".