2039828448 has 288 divisors, whose sum is σ = 6791299200. Its totient is φ = 532417536.

The previous prime is 2039828443. The next prime is 2039828449. The reversal of 2039828448 is 8448289302.

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

It is a junction number, because it is equal to n+sod(n) for n = 2039828397 and 2039828406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039828443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591511 + ... + 2592297.

It is an arithmetic number, because the mean of its divisors is an integer number (23580900).

Almost surely, 2^2039828448 is an apocalyptic number.

2039828448 is a gapful number since it is divisible by the number (28) 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 2039828448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395649600).

2039828448 is an abundant number, since it is smaller than the sum of its proper divisors (4751470752).

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

2039828448 is a wasteful number, since it uses less digits than its factorization.

2039828448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2039828448 is about 45164.4600100566. The cubic root of 2039828448 is about 1268.2295888677.

The spelling of 2039828448 in words is "two billion, thirty-nine million, eight hundred twenty-eight thousand, four hundred forty-eight".