1588128 has 48 divisors (see below), whose sum is σ = 4245696. Its totient is φ = 519680.

The previous prime is 1588121. The next prime is 1588133. The reversal of 1588128 is 8218851.

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

It is not an unprimeable number, because it can be changed into a prime (1588121) 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, 6700 + ... + 6932.

It is an arithmetic number, because the mean of its divisors is an integer number (88452).

2^1588128 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 1588128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848).

1588128 is an abundant number, since it is smaller than the sum of its proper divisors (2657568).

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

1588128 is a wasteful number, since it uses less digits than its factorization.

1588128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 5120, while the sum is 33.

The square root of 1588128 is about 1260.2095063917. The cubic root of 1588128 is about 116.6707082500.

The spelling of 1588128 in words is "one million, five hundred eighty-eight thousand, one hundred twenty-eight".