15128256 has 224 divisors, whose sum is σ = 51206400. Its totient is φ = 3870720.

The previous prime is 15128251. The next prime is 15128287. The reversal of 15128256 is 65282151.

15128256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15128251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521650 + ... + 521678.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^15128256 is an apocalyptic number.

15128256 is a gapful number since it is divisible by the number (16) 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 15128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603200).

15128256 is an abundant number, since it is smaller than the sum of its proper divisors (36078144).

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

15128256 is a wasteful number, since it uses less digits than its factorization.

15128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 15128256 is about 3889.5058812142. The cubic root of 15128256 is about 247.3221168514.

It can be divided in two parts, 15 and 128256, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 15128256 in words is "fifteen million, one hundred twenty-eight thousand, two hundred fifty-six".