15228864 has 112 divisors (see below), whose sum is σ = 51206400. Its totient is φ = 4347648.

The previous prime is 15228827. The next prime is 15228869. The reversal of 15228864 is 46882251.

15228864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15228869) 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, 11467 + ... + 12725.

It is an arithmetic number, because the mean of its divisors is an integer number (457200).

Almost surely, 2^15228864 is an apocalyptic number.

15228864 is a gapful number since it is divisible by the number (14) 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 15228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

15228864 is an abundant number, since it is smaller than the sum of its proper divisors (35977536).

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

15228864 is a wasteful number, since it uses less digits than its factorization.

15228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1271 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 15228864 is about 3902.4177121369. The cubic root of 15228864 is about 247.8691644255.

The spelling of 15228864 in words is "fifteen million, two hundred twenty-eight thousand, eight hundred sixty-four".