28637443836960 has 576 divisors, whose sum is σ = 106908994741248. Its totient is φ = 6310703241216.

The previous prime is 28637443836929. The next prime is 28637443837039. The reversal of 28637443836960 is 6963834473682.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 497261287 + ... + 497318873.

It is an arithmetic number, because the mean of its divisors is an integer number (185605893648).

Almost surely, 2^{28637443836960} is an apocalyptic number.

28637443836960 is a gapful number since it is divisible by the number (20) 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 28637443836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53454497370624).

28637443836960 is an abundant number, since it is smaller than the sum of its proper divisors (78271550904288).

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

28637443836960 is a wasteful number, since it uses less digits than its factorization.

28637443836960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57773 (or 57718 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 69.

The spelling of 28637443836960 in words is "twenty-eight trillion, six hundred thirty-seven billion, four hundred forty-three million, eight hundred thirty-six thousand, nine hundred sixty".