2828894208 has 128 divisors (see below), whose sum is σ = 8623357440. Its totient is φ = 808058880.

The previous prime is 2828894207. The next prime is 2828894209. The reversal of 2828894208 is 8024988282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2828894207) and next prime (2828894209).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828894207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686073 + ... + 690183.

It is an arithmetic number, because the mean of its divisors is an integer number (67369980).

Almost surely, 2^2828894208 is an apocalyptic number.

2828894208 is a gapful number since it is divisible by the number (28) 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 2828894208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311678720).

2828894208 is an abundant number, since it is smaller than the sum of its proper divisors (5794463232).

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

2828894208 is an frugal number, since it uses more digits than its factorization.

2828894208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 2828894208 is about 53187.3500749943. The cubic root of 2828894208 is about 1414.2914052973.

The spelling of 2828894208 in words is "two billion, eight hundred twenty-eight million, eight hundred ninety-four thousand, two hundred eight".