15128946 has 72 divisors (see below), whose sum is σ = 40414140. Its totient is φ = 4064256.

The previous prime is 15128933. The next prime is 15128947. The reversal of 15128946 is 64982151.

It can be written as a sum of positive squares in 2 ways, for example, as 15093225 + 35721 = 3885^2 + 189^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15128946.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15128947) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14490 + ... + 15498.

Almost surely, 2^15128946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15128946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20207070).

15128946 is an abundant number, since it is smaller than the sum of its proper divisors (25285194).

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

15128946 is a wasteful number, since it uses less digits than its factorization.

15128946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 15128946 is about 3889.5945804158. The cubic root of 15128946 is about 247.3258769161.

It can be divided in two parts, 1512894 and 6, that added together give a square (1512900 = 1230²).

The spelling of 15128946 in words is "fifteen million, one hundred twenty-eight thousand, nine hundred forty-six".