13928544 has 192 divisors, whose sum is σ = 48384000. Its totient is φ = 3894912.

The previous prime is 13928533. The next prime is 13928549. The reversal of 13928544 is 44582931.

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 = 13928499 and 13928508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13928549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296329 + ... + 296375.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^13928544 is an apocalyptic number.

13928544 is a gapful number since it is divisible by the number (14) 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 13928544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

13928544 is an abundant number, since it is smaller than the sum of its proper divisors (34455456).

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

13928544 is an equidigital number, since it uses as much as digits as its factorization.

13928544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13928544 is about 3732.0964617759. The cubic root of 13928544 is about 240.6034812713.

The spelling of 13928544 in words is "thirteen million, nine hundred twenty-eight thousand, five hundred forty-four".