2828857200 has 480 divisors, whose sum is σ = 10429540800. Its totient is φ = 654151680.

The previous prime is 2828857181. The next prime is 2828857219. The reversal of 2828857200 is 27588282.

It is an interprime number because it is at equal distance from previous prime (2828857181) and next prime (2828857219).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76455582 + ... + 76455618.

It is an arithmetic number, because the mean of its divisors is an integer number (21728210).

Almost surely, 2^2828857200 is an apocalyptic number.

2828857200 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 2828857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214770400).

2828857200 is an abundant number, since it is smaller than the sum of its proper divisors (7600683600).

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

2828857200 is a wasteful number, since it uses less digits than its factorization.

2828857200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 2828857200 is about 53187.0021715832. The cubic root of 2828857200 is about 1414.2852379493.

The spelling of 2828857200 in words is "two billion, eight hundred twenty-eight million, eight hundred fifty-seven thousand, two hundred".