1427328 has 128 divisors (see below), whose sum is σ = 4896000. Its totient is φ = 400896.

The previous prime is 1427323. The next prime is 1427329. The reversal of 1427328 is 8237241.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24163 + ... + 24221.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2^1427328 is an apocalyptic number.

1427328 is a gapful number since it is divisible by the number (18) 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 1427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448000).

1427328 is an abundant number, since it is smaller than the sum of its proper divisors (3468672).

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

1427328 is an equidigital number, since it uses as much as digits as its factorization.

1427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 1427328 is about 1194.7083326067. The cubic root of 1427328 is about 112.5921023541.

The spelling of 1427328 in words is "one million, four hundred twenty-seven thousand, three hundred twenty-eight".