2827212800 has 72 divisors (see below), whose sum is σ = 7009902900. Its totient is φ = 1130864640.

The previous prime is 2827212797. The next prime is 2827212823. The reversal of 2827212800 is 82127282.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23591 + ... + 78809.

Almost surely, 2^2827212800 is an apocalyptic number.

2827212800 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 2827212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504951450).

2827212800 is an abundant number, since it is smaller than the sum of its proper divisors (4182690100).

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

2827212800 is an equidigital number, since it uses as much as digits as its factorization.

2827212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55251 (or 55226 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 2827212800 is about 53171.5412603396. The cubic root of 2827212800 is about 1414.0111459449.

The spelling of 2827212800 in words is "two billion, eight hundred twenty-seven million, two hundred twelve thousand, eight hundred".