20378953728 has 768 divisors, whose sum is σ = 77366016000. Its totient is φ = 5159780352.

The previous prime is 20378953723. The next prime is 20378953739. The reversal of 20378953728 is 82735987302.

20378953728 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 89 + 537 + 28 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (20378953723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125024175 + ... + 125024337.

It is an arithmetic number, because the mean of its divisors is an integer number (100737000).

Almost surely, 2^20378953728 is an apocalyptic number.

20378953728 is a gapful number since it is divisible by the number (28) 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 20378953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38683008000).

20378953728 is an abundant number, since it is smaller than the sum of its proper divisors (56987062272).

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

20378953728 is a wasteful number, since it uses less digits than its factorization.

20378953728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 20378953728 in words is "twenty billion, three hundred seventy-eight million, nine hundred fifty-three thousand, seven hundred twenty-eight".