13538928 has 60 divisors (see below), whose sum is σ = 37895640. Its totient is φ = 4163328.

The previous prime is 13538923. The next prime is 13538933. The reversal of 13538928 is 82983531.

13538928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13538923) and next prime (13538933).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13538923) 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, 7278 + ... + 8946.

It is an arithmetic number, because the mean of its divisors is an integer number (631594).

Almost surely, 2^13538928 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 13538928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18947820).

13538928 is an abundant number, since it is smaller than the sum of its proper divisors (24356712).

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

13538928 is a wasteful number, since it uses less digits than its factorization.

13538928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1687 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 13538928 is about 3679.5282306296. The cubic root of 13538928 is about 238.3388061186.

The spelling of 13538928 in words is "thirteen million, five hundred thirty-eight thousand, nine hundred twenty-eight".