1428800 has 84 divisors (see below), whose sum is σ = 3779520. Its totient is φ = 529920.

The previous prime is 1428793. The next prime is 1428811. The reversal of 1428800 is 88241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30377 + ... + 30423.

2^1428800 is an apocalyptic number.

1428800 is a gapful number since it is divisible by the number (10) 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 1428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889760).

1428800 is an abundant number, since it is smaller than the sum of its proper divisors (2350720).

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

1428800 is a wasteful number, since it uses less digits than its factorization.

1428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1428800 is about 1195.3242237987. The cubic root of 1428800 is about 112.6307943794.

The spelling of 1428800 in words is "one million, four hundred twenty-eight thousand, eight hundred".