15481728 has 96 divisors (see below), whose sum is σ = 45349200. Its totient is φ = 5068800.

The previous prime is 15481727. The next prime is 15481733. The reversal of 15481728 is 82718451.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 15481692 and 15481701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15481727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102453 + ... + 102603.

Almost surely, 2^15481728 is an apocalyptic number.

15481728 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 15481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674600).

15481728 is an abundant number, since it is smaller than the sum of its proper divisors (29867472).

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

15481728 is a wasteful number, since it uses less digits than its factorization.

15481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 15481728 is about 3934.6827063945. The cubic root of 15481728 is about 249.2335351949.

The spelling of 15481728 in words is "fifteen million, four hundred eighty-one thousand, seven hundred twenty-eight".