14928264 has 96 divisors (see below), whose sum is σ = 44717400. Its totient is φ = 4469760.

The previous prime is 14928259. The next prime is 14928271. The reversal of 14928264 is 46282941.

It can be written as a sum of positive squares in 4 ways, for example, as 4235364 + 10692900 = 2058^2 + 3270^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38182 + ... + 38570.

Almost surely, 2^14928264 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 14928264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22358700).

14928264 is an abundant number, since it is smaller than the sum of its proper divisors (29789136).

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

14928264 is a wasteful number, since it uses less digits than its factorization.

14928264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14928264 is about 3863.7111693293. The cubic root of 14928264 is about 246.2274319462.

The spelling of 14928264 in words is "fourteen million, nine hundred twenty-eight thousand, two hundred sixty-four".