1684328448 has 208 divisors, whose sum is σ = 5194535616. Its totient is φ = 479723520.

The previous prime is 1684328411. The next prime is 1684328449. The reversal of 1684328448 is 8448234861.

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 = 1684328397 and 1684328406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684328449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2297490 + ... + 2298222.

Almost surely, 2^1684328448 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 1684328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597267808).

1684328448 is an abundant number, since it is smaller than the sum of its proper divisors (3510207168).

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

1684328448 is a wasteful number, since it uses less digits than its factorization.

1684328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 766 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 1684328448 is about 41040.5707562651. The cubic root of 1684328448 is about 1189.8044656717.

The spelling of 1684328448 in words is "one billion, six hundred eighty-four million, three hundred twenty-eight thousand, four hundred forty-eight".