28274293800 has 144 divisors (see below), whose sum is σ = 95176421340. Its totient is φ = 7522191360.

The previous prime is 28274293799. The next prime is 28274293823. The reversal of 28274293800 is 839247282.

28274293800 is a `hidden beast` number, since 282 + 7 + 4 + 293 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8942728356 + 19331565444 = 94566^2 + 139038^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761262 + ... + 797538.

Almost surely, 2^28274293800 is an apocalyptic number.

28274293800 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 28274293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47588210670).

28274293800 is an abundant number, since it is smaller than the sum of its proper divisors (66902127540).

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

28274293800 is a wasteful number, since it uses less digits than its factorization.

28274293800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36732 (or 36720 counting only the distinct ones).

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

The spelling of 28274293800 in words is "twenty-eight billion, two hundred seventy-four million, two hundred ninety-three thousand, eight hundred".