20828930304 has 576 divisors, whose sum is σ = 72524390400. Its totient is φ = 5158895616.

The previous prime is 20828930251. The next prime is 20828930323. The reversal of 20828930304 is 40303982802.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87150217 + ... + 87150455.

It is an arithmetic number, because the mean of its divisors is an integer number (125910400).

Almost surely, 2^20828930304 is an apocalyptic number.

20828930304 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 20828930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36262195200).

20828930304 is an abundant number, since it is smaller than the sum of its proper divisors (51695460096).

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

20828930304 is a wasteful number, since it uses less digits than its factorization.

20828930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 20828930304 in words is "twenty billion, eight hundred twenty-eight million, nine hundred thirty thousand, three hundred four".