28825604434944 has 352 divisors, whose sum is σ = 86131351088640. Its totient is φ = 9522938363904.

The previous prime is 28825604434883. The next prime is 28825604434961. The reversal of 28825604434944 is 44943440652882.

It is a happy number.

28825604434944 is a `hidden beast` number, since 2 + 8 + 82 + 5 + 60 + 4 + 4 + 3 + 494 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432460467 + ... + 1432480589.

It is an arithmetic number, because the mean of its divisors is an integer number (244691338320).

Almost surely, 2^{28825604434944} is an apocalyptic number.

28825604434944 is a gapful number since it is divisible by the number (24) 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 28825604434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43065675544320).

28825604434944 is an abundant number, since it is smaller than the sum of its proper divisors (57305746653696).

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

28825604434944 is a wasteful number, since it uses less digits than its factorization.

28825604434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20588 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 63.

The spelling of 28825604434944 in words is "twenty-eight trillion, eight hundred twenty-five billion, six hundred four million, four hundred thirty-four thousand, nine hundred forty-four".