1608828048 has 320 divisors, whose sum is σ = 5142528000. Its totient is φ = 479471616.

The previous prime is 1608828047. The next prime is 1608828061. The reversal of 1608828048 is 8408288061.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1608827994 and 1608828012.

It is not an unprimeable number, because it can be changed into a prime (1608828047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20364873 + ... + 20364951.

It is an arithmetic number, because the mean of its divisors is an integer number (16070400).

Almost surely, 2^1608828048 is an apocalyptic number.

1608828048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1608828048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264000).

1608828048 is an abundant number, since it is smaller than the sum of its proper divisors (3533699952).

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

1608828048 is a wasteful number, since it uses less digits than its factorization.

1608828048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1608828048 is about 40110.1988027983. The cubic root of 1608828048 is about 1171.7542651679.

The spelling of 1608828048 in words is "one billion, six hundred eight million, eight hundred twenty-eight thousand, forty-eight".