20182728384 has 504 divisors, whose sum is σ = 73642868208. Its totient is φ = 5237084160.

The previous prime is 20182728353. The next prime is 20182728409. The reversal of 20182728384 is 48382728102.

20182728384 is a `hidden beast` number, since 20 + 182 + 72 + 8 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24582694 + ... + 24583514.

It is an arithmetic number, because the mean of its divisors is an integer number (146116802).

Almost surely, 2^20182728384 is an apocalyptic number.

20182728384 is a gapful number since it is divisible by the number (24) 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 20182728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36821434104).

20182728384 is an abundant number, since it is smaller than the sum of its proper divisors (53460139824).

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

20182728384 is a wasteful number, since it uses less digits than its factorization.

20182728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20182728384 in words is "twenty billion, one hundred eighty-two million, seven hundred twenty-eight thousand, three hundred eighty-four".