14728464 has 60 divisors (see below), whose sum is σ = 43021056. Its totient is φ = 4694976.

The previous prime is 14728463. The next prime is 14728537. The reversal of 14728464 is 46482741.

It is a super-3 number, since 3×14728464³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14728463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1089 + ... + 5535.

Almost surely, 2^14728464 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 14728464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21510528).

14728464 is an abundant number, since it is smaller than the sum of its proper divisors (28292592).

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

14728464 is a wasteful number, since it uses less digits than its factorization.

14728464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4475 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 14728464 is about 3837.7681013839. The cubic root of 14728464 is about 245.1239911057.

The spelling of 14728464 in words is "fourteen million, seven hundred twenty-eight thousand, four hundred sixty-four".