19128000 has 112 divisors (see below), whose sum is σ = 63239904. Its totient is φ = 5094400.

The previous prime is 19127989. The next prime is 19128007. The reversal of 19128000 is 82191.

It is not an unprimeable number, because it can be changed into a prime (19128007) 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, 23602 + ... + 24398.

It is an arithmetic number, because the mean of its divisors is an integer number (564642).

Almost surely, 2^19128000 is an apocalyptic number.

19128000 is a gapful number since it is divisible by the number (10) 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 19128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31619952).

19128000 is an abundant number, since it is smaller than the sum of its proper divisors (44111904).

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

19128000 is an equidigital number, since it uses as much as digits as its factorization.

19128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 19128000 is about 4373.5569048544. The cubic root of 19128000 is about 267.4380442884.

The spelling of 19128000 in words is "nineteen million, one hundred twenty-eight thousand".