18788448 has 96 divisors (see below), whose sum is σ = 57286656. Its totient is φ = 5280768.

The previous prime is 18788431. The next prime is 18788467. The reversal of 18788448 is 84488781.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 18788397 and 18788406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48865 + ... + 49247.

It is an arithmetic number, because the mean of its divisors is an integer number (596736).

Almost surely, 2^18788448 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 18788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28643328).

18788448 is an abundant number, since it is smaller than the sum of its proper divisors (38498208).

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

18788448 is a wasteful number, since it uses less digits than its factorization.

18788448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its digits is 458752, while the sum is 48.

The square root of 18788448 is about 4334.5643379698. The cubic root of 18788448 is about 265.8461054147.

The spelling of 18788448 in words is "eighteen million, seven hundred eighty-eight thousand, four hundred forty-eight".