18768288 has 96 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 4872960.

The previous prime is 18768259. The next prime is 18768293. The reversal of 18768288 is 88286781.

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

It is a super-3 number, since 3×18768288³ (a number of 23 digits) contains 333 as substring.

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 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, 6123 + ... + 8661.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 2^18768288 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 18768288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

18768288 is an abundant number, since it is smaller than the sum of its proper divisors (42679392).

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

18768288 is a wasteful number, since it uses less digits than its factorization.

18768288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 18768288 is about 4332.2382205968. The cubic root of 18768288 is about 265.7509871178.

The spelling of 18768288 in words is "eighteen million, seven hundred sixty-eight thousand, two hundred eighty-eight".