28211650800 has 120 divisors (see below), whose sum is σ = 90770309376. Its totient is φ = 7489893120.

The previous prime is 28211650777. The next prime is 28211650801. The reversal of 28211650800 is 805611282.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×28211650800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28211650801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220617 + ... + 324183.

Almost surely, 2^28211650800 is an apocalyptic number.

28211650800 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 28211650800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45385154688).

28211650800 is an abundant number, since it is smaller than the sum of its proper divisors (62558658576).

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

28211650800 is a wasteful number, since it uses less digits than its factorization.

28211650800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103815 (or 103804 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 28211650800 in words is "twenty-eight billion, two hundred eleven million, six hundred fifty thousand, eight hundred".