2827200 has 168 divisors, whose sum is σ = 10078720. Its totient is φ = 691200.

The previous prime is 2827159. The next prime is 2827211. The reversal of 2827200 is 27282.

2827200 = T₅₃₆ + T₅₃₇ + ... + T₅₅₄.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91185 + ... + 91215.

2^2827200 is an apocalyptic number.

2827200 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 2827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039360).

2827200 is an abundant number, since it is smaller than the sum of its proper divisors (7251520).

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

2827200 is a wasteful number, since it uses less digits than its factorization.

2827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2827200 is about 1681.4279645587. The cubic root of 2827200 is about 141.4009011998.

The spelling of 2827200 in words is "two million, eight hundred twenty-seven thousand, two hundred".