1888128 has 96 divisors (see below), whose sum is σ = 5967000. Its totient is φ = 568320.

The previous prime is 1888123. The next prime is 1888129. The reversal of 1888128 is 8218881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1888092 and 1888101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1888121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12598 + ... + 12746.

2^1888128 is an apocalyptic number.

1888128 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 1888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983500).

1888128 is an abundant number, since it is smaller than the sum of its proper divisors (4078872).

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

1888128 is a wasteful number, since it uses less digits than its factorization.

1888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The square root of 1888128 is about 1374.0916999968. The cubic root of 1888128 is about 123.5977251600.

It can be divided in two parts, 1888 and 128, that added together give a triangular number (2016 = T₆₃).

The spelling of 1888128 in words is "one million, eight hundred eighty-eight thousand, one hundred twenty-eight".