1428045824 has 60 divisors (see below), whose sum is σ = 2923864944. Its totient is φ = 697073664.

The previous prime is 1428045823. The next prime is 1428045863. The reversal of 1428045824 is 4285408241.

It is not an unprimeable number, because it can be changed into a prime (1428045823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 703499 + ... + 705525.

Almost surely, 2^1428045824 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 1428045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461932472).

1428045824 is an abundant number, since it is smaller than the sum of its proper divisors (1495819120).

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

1428045824 is an frugal number, since it uses more digits than its factorization.

1428045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 38.

The square root of 1428045824 is about 37789.4935663340. The cubic root of 1428045824 is about 1126.1097392590.

The spelling of 1428045824 in words is "one billion, four hundred twenty-eight million, forty-five thousand, eight hundred twenty-four".