2828264448 has 88 divisors (see below), whose sum is σ = 7560144160. Its totient is φ = 940032000.

The previous prime is 2828264443. The next prime is 2828264471. The reversal of 2828264448 is 8444628282.

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 = 2828264397 and 2828264406.

It is not an unprimeable number, because it can be changed into a prime (2828264441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255323 + ... + 1257573.

Almost surely, 2^2828264448 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 2828264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780072080).

2828264448 is an abundant number, since it is smaller than the sum of its proper divisors (4731879712).

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

2828264448 is a wasteful number, since it uses less digits than its factorization.

2828264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2665 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 48.

The square root of 2828264448 is about 53181.4295407711. The cubic root of 2828264448 is about 1414.1864490623.

The spelling of 2828264448 in words is "two billion, eight hundred twenty-eight million, two hundred sixty-four thousand, four hundred forty-eight".