20430829728 has 144 divisors (see below), whose sum is σ = 58785906816. Its totient is φ = 6730368000.

The previous prime is 20430829723. The next prime is 20430829729. The reversal of 20430829728 is 82792803402.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (20430829723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9902425 + ... + 9904487.

It is an arithmetic number, because the mean of its divisors is an integer number (408235464).

Almost surely, 2^20430829728 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 20430829728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29392953408).

20430829728 is an abundant number, since it is smaller than the sum of its proper divisors (38355077088).

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

20430829728 is a wasteful number, since it uses less digits than its factorization.

20430829728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20430829728 in words is "twenty billion, four hundred thirty million, eight hundred twenty-nine thousand, seven hundred twenty-eight".