13858128 has 150 divisors (see below), whose sum is σ = 43759166. Its totient is φ = 4230144.

The previous prime is 13858081. The next prime is 13858133. The reversal of 13858128 is 82185831.

13858128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8714304 + 5143824 = 2952^2 + 2268^2 .

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 = 13858092 and 13858101.

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, 374526 + ... + 374562.

Almost surely, 2^13858128 is an apocalyptic number.

13858128 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 13858128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879583).

13858128 is an abundant number, since it is smaller than the sum of its proper divisors (29901038).

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

13858128 is a wasteful number, since it uses less digits than its factorization.

13858128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 13858128 is about 3722.6506685425. The cubic root of 13858128 is about 240.1973376965.

The spelling of 13858128 in words is "thirteen million, eight hundred fifty-eight thousand, one hundred twenty-eight".