1328448 has 112 divisors (see below), whose sum is σ = 4169664. Its totient is φ = 368640.

The previous prime is 1328447. The next prime is 1328449. The reversal of 1328448 is 8448231.

It is an interprime number because it is at equal distance from previous prime (1328447) and next prime (1328449).

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 (1328447) 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, 35886 + ... + 35922.

2^1328448 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 1328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084832).

1328448 is an abundant number, since it is smaller than the sum of its proper divisors (2841216).

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

1328448 is a wasteful number, since it uses less digits than its factorization.

1328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 1328448 is about 1152.5831857181. The cubic root of 1328448 is about 109.9296519898.

It can be divided in two parts, 132 and 8448, that multiplied together give a square (1115136 = 1056²).

The spelling of 1328448 in words is "one million, three hundred twenty-eight thousand, four hundred forty-eight".