15228648 has 80 divisors (see below), whose sum is σ = 43385760. Its totient is φ = 4989600.

The previous prime is 15228643. The next prime is 15228659. The reversal of 15228648 is 84682251.

15228648 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 8 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (15228641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45843 + ... + 46173.

It is an arithmetic number, because the mean of its divisors is an integer number (542322).

Almost surely, 2^15228648 is an apocalyptic number.

15228648 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 15228648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21692880).

15228648 is an abundant number, since it is smaller than the sum of its proper divisors (28157112).

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

15228648 is a wasteful number, since it uses less digits than its factorization.

15228648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

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

The square root of 15228648 is about 3902.3900368877. The cubic root of 15228648 is about 247.8679925283.

It can be divided in two parts, 15228 and 648, that added together give a square (15876 = 126²).

The spelling of 15228648 in words is "fifteen million, two hundred twenty-eight thousand, six hundred forty-eight".