1428320 has 48 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 559104.

The previous prime is 1428281. The next prime is 1428359. The reversal of 1428320 is 238241.

It is an interprime number because it is at equal distance from previous prime (1428281) and next prime (1428359).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1428292 and 1428301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12584 + ... + 12696.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^1428320 is an apocalyptic number.

1428320 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 1428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1428320 is an abundant number, since it is smaller than the sum of its proper divisors (2019040).

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

1428320 is a wasteful number, since it uses less digits than its factorization.

1428320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1428320 is about 1195.1234245884. The cubic root of 1428320 is about 112.6181803358.

The spelling of 1428320 in words is "one million, four hundred twenty-eight thousand, three hundred twenty".