19881288 has 112 divisors (see below), whose sum is σ = 64006080. Its totient is φ = 5668704.

The previous prime is 19881283. The next prime is 19881311. The reversal of 19881288 is 88218891.

It is a super-2 number, since 2×19881288² = 790531225077888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (19881283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40581 + ... + 41067.

Almost surely, 2^19881288 is an apocalyptic number.

19881288 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 19881288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32003040).

19881288 is an abundant number, since it is smaller than the sum of its proper divisors (44124792).

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

19881288 is an equidigital number, since it uses as much as digits as its factorization.

19881288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The square root of 19881288 is about 4458.8437963221. The cubic root of 19881288 is about 270.9036389838.

The spelling of 19881288 in words is "nineteen million, eight hundred eighty-one thousand, two hundred eighty-eight".