14274288 has 180 divisors, whose sum is σ = 49488400. Its totient is φ = 3838464.

The previous prime is 14274287. The next prime is 14274311. The reversal of 14274288 is 88247241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14274287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 839656 + ... + 839672.

Almost surely, 2^14274288 is an apocalyptic number.

14274288 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 14274288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24744200).

14274288 is an abundant number, since it is smaller than the sum of its proper divisors (35214112).

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

14274288 is a wasteful number, since it uses less digits than its factorization.

14274288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 14274288 is about 3778.1328722002. The cubic root of 14274288 is about 242.5780412724.

Multiplying 14274288 by its product of digits (28672), we get a square (409272385536 = 639744²).

The spelling of 14274288 in words is "fourteen million, two hundred seventy-four thousand, two hundred eighty-eight".