28217548800 has 840 divisors, whose sum is σ = 119955539616. Its totient is φ = 6449725440.

The previous prime is 28217548757. The next prime is 28217548811. The reversal of 28217548800 is 884571282.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (3!)⁵.

28217548800 is a `hidden beast` number, since 2 + 8 + 21 + 7 + 548 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4031078397 + ... + 4031078403.

Almost surely, 2^28217548800 is an apocalyptic number.

28217548800 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 28217548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59977769808).

28217548800 is an abundant number, since it is smaller than the sum of its proper divisors (91737990816).

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

28217548800 is an frugal number, since it uses more digits than its factorization.

28217548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 28217548800 in words is "twenty-eight billion, two hundred seventeen million, five hundred forty-eight thousand, eight hundred".