13955328 has 90 divisors (see below), whose sum is σ = 41674094. Its totient is φ = 4644864.

The previous prime is 13955323. The next prime is 13955341. The reversal of 13955328 is 82355931.

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 2985984 = 3312^2 + 1728^2 .

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 = 13955292 and 13955301.

It is not an unprimeable number, because it can be changed into a prime (13955321) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20400 + ... + 21072.

Almost surely, 2^13955328 is an apocalyptic number.

13955328 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 13955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20837047).

13955328 is an abundant number, since it is smaller than the sum of its proper divisors (27718766).

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

13955328 is an frugal number, since it uses more digits than its factorization.

13955328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 678 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 13955328 is about 3735.6830700690. The cubic root of 13955328 is about 240.7576059553.

The spelling of 13955328 in words is "thirteen million, nine hundred fifty-five thousand, three hundred twenty-eight".