1408128 has 64 divisors (see below), whose sum is σ = 3957600. Its totient is φ = 442368.

The previous prime is 1408123. The next prime is 1408151. The reversal of 1408128 is 8218041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1408098 and 1408107.

It is not an unprimeable number, because it can be changed into a prime (1408123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7200 + ... + 7392.

2^1408128 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 1408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978800).

1408128 is an abundant number, since it is smaller than the sum of its proper divisors (2549472).

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

1408128 is a wasteful number, since it uses less digits than its factorization.

1408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1408128 is about 1186.6456926985. The cubic root of 1408128 is about 112.0849695346.

The spelling of 1408128 in words is "one million, four hundred eight thousand, one hundred twenty-eight".