20328192000 has 768 divisors, whose sum is σ = 80031369600. Its totient is φ = 5072486400.

The previous prime is 20328191977. The next prime is 20328192013. The reversal of 20328192000 is 29182302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117503914 + ... + 117504086.

Almost surely, 2^20328192000 is an apocalyptic number.

20328192000 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 20328192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40015684800).

20328192000 is an abundant number, since it is smaller than the sum of its proper divisors (59703177600).

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

20328192000 is a wasteful number, since it uses less digits than its factorization.

20328192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20328192000 in words is "twenty billion, three hundred twenty-eight million, one hundred ninety-two thousand".