28884556800 has 1056 divisors, whose sum is σ = 120619065600. Its totient is φ = 6709248000.

The previous prime is 28884556783. The next prime is 28884556817. The reversal of 28884556800 is 865548882.

It is a happy number.

28884556800 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 4 + 556 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28884556783) and next prime (28884556817).

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220492735 + ... + 220492865.

It is an arithmetic number, because the mean of its divisors is an integer number (114222600).

Almost surely, 2^28884556800 is an apocalyptic number.

28884556800 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 28884556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60309532800).

28884556800 is an abundant number, since it is smaller than the sum of its proper divisors (91734508800).

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

28884556800 is a wasteful number, since it uses less digits than its factorization.

28884556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 28884556800 in words is "twenty-eight billion, eight hundred eighty-four million, five hundred fifty-six thousand, eight hundred".