1428445824 has 128 divisors (see below), whose sum is σ = 4164048000. Its totient is φ = 431149056.

The previous prime is 1428445793. The next prime is 1428445849. The reversal of 1428445824 is 4285448241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 261877 + ... + 267275.

It is an arithmetic number, because the mean of its divisors is an integer number (32531625).

Almost surely, 2^1428445824 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 1428445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082024000).

1428445824 is an abundant number, since it is smaller than the sum of its proper divisors (2735602176).

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

1428445824 is a wasteful number, since it uses less digits than its factorization.

1428445824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5470 counting only the distinct ones).

The product of its digits is 327680, while the sum is 42.

The square root of 1428445824 is about 37794.7856721003. The cubic root of 1428445824 is about 1126.2148717036.

The spelling of 1428445824 in words is "one billion, four hundred twenty-eight million, four hundred forty-five thousand, eight hundred twenty-four".