28419148825128 has 144 divisors (see below), whose sum is σ = 77386859107740. Its totient is φ = 9421831065600.

The previous prime is 28419148825091. The next prime is 28419148825129. The reversal of 28419148825128 is 82152884191482.

It is a happy number.

28419148825128 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 9 + 1 + 488 + 25 + 128 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1029814980804 + 27389333844324 = 1014798^2 + 5233482^2 .

It is not an unprimeable number, because it can be changed into a prime (28419148825129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3990889408 + ... + 3990896528.

Almost surely, 2^{28419148825128} is an apocalyptic number.

It is an amenable number.

28419148825128 is an abundant number, since it is smaller than the sum of its proper divisors (48967710282612).

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

28419148825128 is a wasteful number, since it uses less digits than its factorization.

28419148825128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8380 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 63.

The spelling of 28419148825128 in words is "twenty-eight trillion, four hundred nineteen billion, one hundred forty-eight million, eight hundred twenty-five thousand, one hundred twenty-eight".