13858328 has 64 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 5843200.

The previous prime is 13858321. The next prime is 13858337. The reversal of 13858328 is 82385831.

13858328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13858291 and 13858300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13858321) 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, 82901 + ... + 83067.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^13858328 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 13858328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

13858328 is an abundant number, since it is smaller than the sum of its proper divisors (16623592).

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

13858328 is a wasteful number, since it uses less digits than its factorization.

13858328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 13858328 is about 3722.6775310252. The cubic root of 13858328 is about 240.1984931974.

It can be divided in two parts, 13858 and 328, that multiplied together give a square (4545424 = 2132²).

The spelling of 13858328 in words is "thirteen million, eight hundred fifty-eight thousand, three hundred twenty-eight".