22728742200 has 288 divisors, whose sum is σ = 78891795840. Its totient is φ = 5860512000.

The previous prime is 22728742187. The next prime is 22728742259. The reversal of 22728742200 is 224782722.

22728742200 is a `hidden beast` number, since 227 + 2 + 8 + 7 + 422 + 0 + 0 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7970775 + ... + 7973625.

Almost surely, 2^22728742200 is an apocalyptic number.

22728742200 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 22728742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39445897920).

22728742200 is an abundant number, since it is smaller than the sum of its proper divisors (56163053640).

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

22728742200 is a wasteful number, since it uses less digits than its factorization.

22728742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 22728742200 in words is "twenty-two billion, seven hundred twenty-eight million, seven hundred forty-two thousand, two hundred".