20428408000 has 448 divisors, whose sum is σ = 67952941056. Its totient is φ = 5875200000.

The previous prime is 20428407991. The next prime is 20428408031. The reversal of 20428408000 is 80482402.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20428408000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8006725 + ... + 8009275.

It is an arithmetic number, because the mean of its divisors is an integer number (151680672).

Almost surely, 2^20428408000 is an apocalyptic number.

20428408000 is a gapful number since it is divisible by the number (20) 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 20428408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976470528).

20428408000 is an abundant number, since it is smaller than the sum of its proper divisors (47524533056).

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

20428408000 is a wasteful number, since it uses less digits than its factorization.

20428408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 20428408000 in words is "twenty billion, four hundred twenty-eight million, four hundred eight thousand".