22728440160 has 192 divisors, whose sum is σ = 79642906560. Its totient is φ = 6053806080.

The previous prime is 22728440153. The next prime is 22728440177. The reversal of 22728440160 is 6104482722.

22728440160 is a `hidden beast` number, since 227 + 28 + 4 + 401 + 6 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4408144 + ... + 4413296.

It is an arithmetic number, because the mean of its divisors is an integer number (414806805).

Almost surely, 2^22728440160 is an apocalyptic number.

22728440160 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 22728440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39821453280).

22728440160 is an abundant number, since it is smaller than the sum of its proper divisors (56914466400).

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

22728440160 is a wasteful number, since it uses less digits than its factorization.

22728440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 22728440160 in words is "twenty-two billion, seven hundred twenty-eight million, four hundred forty thousand, one hundred sixty".