28466380800 has 1152 divisors, whose sum is σ = 124235485920. Its totient is φ = 6370099200.

The previous prime is 28466380783. The next prime is 28466380801. The reversal of 28466380800 is 808366482.

It is a happy number.

28466380800 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 638 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (28466380801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2189721594 + ... + 2189721606.

Almost surely, 2^28466380800 is an apocalyptic number.

28466380800 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 28466380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62117742960).

28466380800 is an abundant number, since it is smaller than the sum of its proper divisors (95769105120).

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

28466380800 is an equidigital number, since it uses as much as digits as its factorization.

28466380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28466380800 in words is "twenty-eight billion, four hundred sixty-six million, three hundred eighty thousand, eight hundred".