20828762304 has 224 divisors, whose sum is σ = 66837519360. Its totient is φ = 5588385792.

The previous prime is 20828762261. The next prime is 20828762323. The reversal of 20828762304 is 40326782802.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14781952 + ... + 14783360.

Almost surely, 2^20828762304 is an apocalyptic number.

20828762304 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 20828762304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33418759680).

20828762304 is an abundant number, since it is smaller than the sum of its proper divisors (46008757056).

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

20828762304 is a wasteful number, since it uses less digits than its factorization.

20828762304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 20828762304 in words is "twenty billion, eight hundred twenty-eight million, seven hundred sixty-two thousand, three hundred four".