14905728 has 128 divisors (see below), whose sum is σ = 46512000. Its totient is φ = 4686336.

The previous prime is 14905711. The next prime is 14905729. The reversal of 14905728 is 82750941.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 14905692 and 14905701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14905729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65551 + ... + 65777.

It is an arithmetic number, because the mean of its divisors is an integer number (363375).

Almost surely, 2^14905728 is an apocalyptic number.

14905728 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 14905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256000).

14905728 is an abundant number, since it is smaller than the sum of its proper divisors (31606272).

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

14905728 is a wasteful number, since it uses less digits than its factorization.

14905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 14905728 is about 3860.7937007823. The cubic root of 14905728 is about 246.1034662921.

The spelling of 14905728 in words is "fourteen million, nine hundred five thousand, seven hundred twenty-eight".