1827919968 has 192 divisors, whose sum is σ = 5917847040. Its totient is φ = 482107392.

The previous prime is 1827919943. The next prime is 1827919987. The reversal of 1827919968 is 8699197281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603963 + ... + 606981.

It is an arithmetic number, because the mean of its divisors is an integer number (30822120).

Almost surely, 2^1827919968 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 1827919968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958923520).

1827919968 is an abundant number, since it is smaller than the sum of its proper divisors (4089927072).

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

1827919968 is a wasteful number, since it uses less digits than its factorization.

1827919968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3101 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 60.

The square root of 1827919968 is about 42754.1807078559. The cubic root of 1827919968 is about 1222.6975979625.

The spelling of 1827919968 in words is "one billion, eight hundred twenty-seven million, nine hundred nineteen thousand, nine hundred sixty-eight".