28226880000 has 1050 divisors, whose sum is σ = 116144452347. Its totient is φ = 6842880000.

The previous prime is 28226879999. The next prime is 28226880029. The reversal of 28226880000 is 8862282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 6526054656 + 21700825344 = 80784^2 + 147312^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=118800.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2566079995 + ... + 2566080005.

Almost surely, 2^28226880000 is an apocalyptic number.

28226880000 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 28226880000

28226880000 is an abundant number, since it is smaller than the sum of its proper divisors (87917572347).

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

28226880000 is an frugal number, since it uses more digits than its factorization.

28226880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 28226880000 in words is "twenty-eight billion, two hundred twenty-six million, eight hundred eighty thousand".