1428864 has 48 divisors (see below), whose sum is σ = 3858660. Its totient is φ = 468480.

The previous prime is 1428863. The next prime is 1428887. The reversal of 1428864 is 4688241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23394 + ... + 23454.

2^1428864 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 1428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929330).

1428864 is an abundant number, since it is smaller than the sum of its proper divisors (2429796).

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

1428864 is an frugal number, since it uses more digits than its factorization.

1428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 66 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 1428864 is about 1195.3509944782. The cubic root of 1428864 is about 112.6324760384.

The spelling of 1428864 in words is "one million, four hundred twenty-eight thousand, eight hundred sixty-four".