13945728 has 64 divisors (see below), whose sum is σ = 38678400. Its totient is φ = 4443648.

The previous prime is 13945727. The next prime is 13945739. The reversal of 13945728 is 82754931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8043 + ... + 9621.

It is an arithmetic number, because the mean of its divisors is an integer number (604350).

Almost surely, 2^13945728 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 13945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339200).

13945728 is an abundant number, since it is smaller than the sum of its proper divisors (24732672).

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

13945728 is a wasteful number, since it uses less digits than its factorization.

13945728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1607 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 13945728 is about 3734.3979434442. The cubic root of 13945728 is about 240.7023868256.

The spelling of 13945728 in words is "thirteen million, nine hundred forty-five thousand, seven hundred twenty-eight".