13939128 has 120 divisors (see below), whose sum is σ = 45520200. Its totient is φ = 3973536.

The previous prime is 13939117. The next prime is 13939153. The reversal of 13939128 is 82193931.

13939128 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 a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13939092 and 13939101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31533 + ... + 31971.

It is an arithmetic number, because the mean of its divisors is an integer number (379335).

Almost surely, 2^13939128 is an apocalyptic number.

13939128 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 13939128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22760100).

13939128 is an abundant number, since it is smaller than the sum of its proper divisors (31581072).

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

13939128 is a wasteful number, since it uses less digits than its factorization.

13939128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 451 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13939128 is about 3733.5141622873. The cubic root of 13939128 is about 240.6644089723.

The spelling of 13939128 in words is "thirteen million, nine hundred thirty-nine thousand, one hundred twenty-eight".