14365728 has 96 divisors (see below), whose sum is σ = 45158400. Its totient is φ = 4416768.

The previous prime is 14365727. The next prime is 14365739. The reversal of 14365728 is 82756341.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 14365692 and 14365701.

It is not an unprimeable number, because it can be changed into a prime (14365721) 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, 10593 + ... + 11871.

It is an arithmetic number, because the mean of its divisors is an integer number (470400).

Almost surely, 2^14365728 is an apocalyptic number.

14365728 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 14365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579200).

14365728 is an abundant number, since it is smaller than the sum of its proper divisors (30792672).

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

14365728 is a wasteful number, since it uses less digits than its factorization.

14365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1297 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 14365728 is about 3790.2147696404. The cubic root of 14365728 is about 243.0949179567.

The spelling of 14365728 in words is "fourteen million, three hundred sixty-five thousand, seven hundred twenty-eight".