22788000 has 192 divisors, whose sum is σ = 83341440. Its totient is φ = 6048000.

The previous prime is 22787993. The next prime is 22788001. The reversal of 22788000 is 88722.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22788001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107895 + ... + 108105.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 2^22788000 is an apocalyptic number.

22788000 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 22788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41670720).

22788000 is an abundant number, since it is smaller than the sum of its proper divisors (60553440).

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

22788000 is a wasteful number, since it uses less digits than its factorization.

22788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 22788000 is about 4773.6778274199. The cubic root of 22788000 is about 283.5102317071.

The spelling of 22788000 in words is "twenty-two million, seven hundred eighty-eight thousand".