2828784384 has 216 divisors, whose sum is σ = 8693826960. Its totient is φ = 916697088.

The previous prime is 2828784373. The next prime is 2828784389. The reversal of 2828784384 is 4834878282.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2828784384.

It is not an unprimeable number, because it can be changed into a prime (2828784389) 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 23 ways as a sum of consecutive naturals, for example, 2301082 + ... + 2302310.

Almost surely, 2^2828784384 is an apocalyptic number.

2828784384 is a gapful number since it is divisible by the number (24) 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 2828784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346913480).

2828784384 is an abundant number, since it is smaller than the sum of its proper divisors (5865042576).

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

2828784384 is an equidigital number, since it uses as much as digits as its factorization.

2828784384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1271 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 2828784384 is about 53186.3176390319. The cubic root of 2828784384 is about 1414.2731030753.

The spelling of 2828784384 in words is "two billion, eight hundred twenty-eight million, seven hundred eighty-four thousand, three hundred eighty-four".