20228648000 has 224 divisors, whose sum is σ = 54878923008. Its totient is φ = 7325184000.

The previous prime is 20228647997. The next prime is 20228648003. The reversal of 20228648000 is 84682202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20228647997) and next prime (20228648003).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20228648003) 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, 40215749 + ... + 40216251.

It is an arithmetic number, because the mean of its divisors is an integer number (244995192).

Almost surely, 2^20228648000 is an apocalyptic number.

20228648000 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 20228648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27439461504).

20228648000 is an abundant number, since it is smaller than the sum of its proper divisors (34650275008).

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

20228648000 is a wasteful number, since it uses less digits than its factorization.

20228648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 20228648000 in words is "twenty billion, two hundred twenty-eight million, six hundred forty-eight thousand".