2827830000 has 100 divisors (see below), whose sum is σ = 9128709128. Its totient is φ = 754080000.

The previous prime is 2827829993. The next prime is 2827830029. The reversal of 2827830000 is 387282.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2827830000.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 17131 + ... + 77130.

Almost surely, 2^2827830000 is an apocalyptic number.

2827830000 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 2827830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564354564).

2827830000 is an abundant number, since it is smaller than the sum of its proper divisors (6300879128).

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

2827830000 is an equidigital number, since it uses as much as digits as its factorization.

2827830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94292 (or 94271 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2827830000 is about 53177.3448002060. The cubic root of 2827830000 is about 1414.1140345778.

The spelling of 2827830000 in words is "two billion, eight hundred twenty-seven million, eight hundred thirty thousand".