128504896 has 63 divisors (see below), whose sum is σ = 278682831. Its totient is φ = 58765824.

The previous prime is 128504869. The next prime is 128504897. The reversal of 128504896 is 698405821.

It is a happy number.

The square root of 128504896 is 11336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4494400 + 124010496 = 2120^2 + 11136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128504897) 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 8 ways as a sum of consecutive naturals, for example, 1178890 + ... + 1178998.

It is an arithmetic number, because the mean of its divisors is an integer number (4423537).

Almost surely, 2^128504896 is an apocalyptic number.

128504896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128504896 is the 11336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128504896

128504896 is an abundant number, since it is smaller than the sum of its proper divisors (150177935).

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

128504896 is an equidigital number, since it uses as much as digits as its factorization.

128504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The cubic root of 128504896 is about 504.6301850858.

The spelling of 128504896 in words is "one hundred twenty-eight million, five hundred four thousand, eight hundred ninety-six".