2827218632 has 64 divisors (see below), whose sum is σ = 6222666240. Its totient is φ = 1178956800.

The previous prime is 2827218587. The next prime is 2827218659. The reversal of 2827218632 is 2368127282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 2827218632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988148 + ... + 991004.

It is an arithmetic number, because the mean of its divisors is an integer number (97229160).

Almost surely, 2^2827218632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2827218632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111333120).

2827218632 is an abundant number, since it is smaller than the sum of its proper divisors (3395447608).

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

2827218632 is a wasteful number, since it uses less digits than its factorization.

2827218632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3338 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 2827218632 is about 53171.5961016782. The cubic root of 2827218632 is about 1414.0121182225.

The spelling of 2827218632 in words is "two billion, eight hundred twenty-seven million, two hundred eighteen thousand, six hundred thirty-two".