1838732448 has 192 divisors, whose sum is σ = 5927040000. Its totient is φ = 497532672.

The previous prime is 1838732387. The next prime is 1838732459. The reversal of 1838732448 is 8442378381.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1838732397 and 1838732406.

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, 624163 + ... + 627101.

It is an arithmetic number, because the mean of its divisors is an integer number (30870000).

Almost surely, 2^1838732448 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 1838732448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520000).

1838732448 is an abundant number, since it is smaller than the sum of its proper divisors (4088307552).

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

1838732448 is a wasteful number, since it uses less digits than its factorization.

1838732448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2970 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 1838732448 is about 42880.4436544213. The cubic root of 1838732448 is about 1225.1036864616.

The spelling of 1838732448 in words is "one billion, eight hundred thirty-eight million, seven hundred thirty-two thousand, four hundred forty-eight".