4048605828 has 240 divisors, whose sum is σ = 11720636928. Its totient is φ = 1213056000.

The previous prime is 4048605773. The next prime is 4048605853. The reversal of 4048605828 is 8285068404.

4048605828 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 60 + 582 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22367898 + ... + 22368078.

Almost surely, 2^4048605828 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 4048605828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860318464).

4048605828 is an abundant number, since it is smaller than the sum of its proper divisors (7672031100).

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

4048605828 is a wasteful number, since it uses less digits than its factorization.

4048605828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4048605828 is about 63628.6557142299. The cubic root of 4048605828 is about 1593.8049279893.

The spelling of 4048605828 in words is "four billion, forty-eight million, six hundred five thousand, eight hundred twenty-eight".