28216135200 has 432 divisors, whose sum is σ = 102411757728. Its totient is φ = 6746572800.

The previous prime is 28216135099. The next prime is 28216135217. The reversal of 28216135200 is 253161282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 386522364 + ... + 386522436.

It is an arithmetic number, because the mean of its divisors is an integer number (237064254).

Almost surely, 2^28216135200 is an apocalyptic number.

28216135200 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 28216135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51205878864).

28216135200 is an abundant number, since it is smaller than the sum of its proper divisors (74195622528).

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

28216135200 is an frugal number, since it uses more digits than its factorization.

28216135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 28216135200 its reverse (253161282), we get a palindrome (28469296482).

The spelling of 28216135200 in words is "twenty-eight billion, two hundred sixteen million, one hundred thirty-five thousand, two hundred".