2828903616 has 560 divisors, whose sum is σ = 11034735360. Its totient is φ = 694241280.

The previous prime is 2828903603. The next prime is 2828903669. The reversal of 2828903616 is 6163098282.

2828903616 is a `hidden beast` number, since 2 + 8 + 28 + 9 + 0 + 3 + 616 = 666.

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 79 ways as a sum of consecutive naturals, for example, 7584006 + ... + 7584378.

Almost surely, 2^2828903616 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 2828903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517367680).

2828903616 is an abundant number, since it is smaller than the sum of its proper divisors (8205831744).

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

2828903616 is a wasteful number, since it uses less digits than its factorization.

2828903616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2828903616 is about 53187.4385170032. The cubic root of 2828903616 is about 1414.2929731229.

The spelling of 2828903616 in words is "two billion, eight hundred twenty-eight million, nine hundred three thousand, six hundred sixteen".