1428840000 has 735 divisors, whose sum is σ = 6179449287. Its totient is φ = 326592000.

The previous prime is 1428839927. The next prime is 1428840011. The reversal of 1428840000 is 488241.

The square root of 1428840000 is 37800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 1316818944 = 10584^2 + 36288^2 .

It is a tau number, because it is divible by the number of its divisors (735).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 104 ways as a sum of consecutive naturals, for example, 204119997 + ... + 204120003.

Almost surely, 2^1428840000 is an apocalyptic number.

1428840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1428840000 is the 37800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428840000

1428840000 is an abundant number, since it is smaller than the sum of its proper divisors (4750609287).

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

1428840000 is an frugal number, since it uses more digits than its factorization.

1428840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The cubic root of 1428840000 is about 1126.3184542217.

The spelling of 1428840000 in words is "one billion, four hundred twenty-eight million, eight hundred forty thousand".