20220834529728 has 672 divisors, whose sum is σ = 69047134041600. Its totient is φ = 5537752178688.

The previous prime is 20220834529703. The next prime is 20220834529751. The reversal of 20220834529728 is 82792543802202.

20220834529728 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 0 + 8 + 345 + 297 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2910725551 + ... + 2910732497.

Almost surely, 2^{20220834529728} is an apocalyptic number.

20220834529728 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 20220834529728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34523567020800).

20220834529728 is an abundant number, since it is smaller than the sum of its proper divisors (48826299511872).

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

20220834529728 is a wasteful number, since it uses less digits than its factorization.

20220834529728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7284 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 20220834529728 in words is "twenty trillion, two hundred twenty billion, eight hundred thirty-four million, five hundred twenty-nine thousand, seven hundred twenty-eight".