20828838853728 has 240 divisors, whose sum is σ = 64738026239040. Its totient is φ = 6551318880000.

The previous prime is 20828838853723. The next prime is 20828838853741. The reversal of 20828838853728 is 82735883882802.

20828838853728 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 8 + 8 + 3 + 88 + 537 + 2 + 8 = 666.

It is a super-3 number, since 3×20828838853728³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20828838853723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11518743 + ... + 13203753.

It is an arithmetic number, because the mean of its divisors is an integer number (269741775996).

Almost surely, 2^{20828838853728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20828838853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32369013119520).

20828838853728 is an abundant number, since it is smaller than the sum of its proper divisors (43909187385312).

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

20828838853728 is a wasteful number, since it uses less digits than its factorization.

20828838853728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685303 (or 1685286 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 72.

The spelling of 20828838853728 in words is "twenty trillion, eight hundred twenty-eight billion, eight hundred thirty-eight million, eight hundred fifty-three thousand, seven hundred twenty-eight".