28279843200 has 1536 divisors, whose sum is σ = 131134464000. Its totient is φ = 5802762240.

The previous prime is 28279843199. The next prime is 28279843211. The reversal of 28279843200 is 234897282.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264297547 + ... + 264297653.

It is an arithmetic number, because the mean of its divisors is an integer number (85374000).

Almost surely, 2^28279843200 is an apocalyptic number.

28279843200 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 28279843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65567232000).

28279843200 is an abundant number, since it is smaller than the sum of its proper divisors (102854620800).

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

28279843200 is a wasteful number, since it uses less digits than its factorization.

28279843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28279843200 in words is "twenty-eight billion, two hundred seventy-nine million, eight hundred forty-three thousand, two hundred".