28896436800 has 2016 divisors, whose sum is σ = 143478138240. Its totient is φ = 5573836800.

The previous prime is 28896436771. The next prime is 28896436859. The reversal of 28896436800 is 863469882.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 395841564 + ... + 395841636.

Almost surely, 2^28896436800 is an apocalyptic number.

28896436800 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 28896436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71739069120).

28896436800 is an abundant number, since it is smaller than the sum of its proper divisors (114581701440).

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

28896436800 is a wasteful number, since it uses less digits than its factorization.

28896436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28896436800 in words is "twenty-eight billion, eight hundred ninety-six million, four hundred thirty-six thousand, eight hundred".