27773001828 has 144 divisors (see below), whose sum is σ = 82750764096. Its totient is φ = 7742926080.

The previous prime is 27773001797. The next prime is 27773001899. The reversal of 27773001828 is 82810037772.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 1571650 + ... + 1589222.

It is an arithmetic number, because the mean of its divisors is an integer number (574658084).

Almost surely, 2^27773001828 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 27773001828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41375382048).

27773001828 is an abundant number, since it is smaller than the sum of its proper divisors (54977762268).

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

27773001828 is a wasteful number, since it uses less digits than its factorization.

27773001828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17914 (or 17909 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 27773001828 in words is "twenty-seven billion, seven hundred seventy-three million, one thousand, eight hundred twenty-eight".