1728888 has 64 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 480000.

The previous prime is 1728871. The next prime is 1728889. The reversal of 1728888 is 8888271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (1728889) 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, 6763 + ... + 7013.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^1728888 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 1728888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1728888 is an abundant number, since it is smaller than the sum of its proper divisors (3351432).

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

1728888 is a wasteful number, since it uses less digits than its factorization.

1728888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its digits is 57344, while the sum is 42.

The square root of 1728888 is about 1314.8718568743. The cubic root of 1728888 is about 120.0205520355.

The spelling of 1728888 in words is "one million, seven hundred twenty-eight thousand, eight hundred eighty-eight".