28601548800 has 612 divisors, whose sum is σ = 107853607344. Its totient is φ = 6632243200.

The previous prime is 28601548783. The next prime is 28601548849. The reversal of 28601548800 is 884510682.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1243545589 + ... + 1243545611.

Almost surely, 2^28601548800 is an apocalyptic number.

28601548800 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 28601548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53926803672).

28601548800 is an abundant number, since it is smaller than the sum of its proper divisors (79252058544).

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

28601548800 is an equidigital number, since it uses as much as digits as its factorization.

28601548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 28601548800 in words is "twenty-eight billion, six hundred one million, five hundred forty-eight thousand, eight hundred".