14516928 has 112 divisors (see below), whose sum is σ = 44216320. Its totient is φ = 4665600.

The previous prime is 14516917. The next prime is 14516939. The reversal of 14516928 is 82961541.

It is an interprime number because it is at equal distance from previous prime (14516917) and next prime (14516939).

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

It is a junction number, because it is equal to n+sod(n) for n = 14516892 and 14516901.

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, 53433 + ... + 53703.

Almost surely, 2^14516928 is an apocalyptic number.

14516928 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 14516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22108160).

14516928 is an abundant number, since it is smaller than the sum of its proper divisors (29699392).

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

14516928 is a wasteful number, since it uses less digits than its factorization.

14516928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14516928 is about 3810.1086598679. The cubic root of 14516928 is about 243.9448052168.

The spelling of 14516928 in words is "fourteen million, five hundred sixteen thousand, nine hundred twenty-eight".