20428984900 has 27 divisors (see below), whose sum is σ = 44333999031. Its totient is φ = 8171022240.

The previous prime is 20428984897. The next prime is 20428984913. The reversal of 20428984900 is 948982402.

The square root of 20428984900 is 142930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11897137476 + 8531847424 = 109074^2 + 92368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1422154 + ... + 1436446.

Almost surely, 2^20428984900 is an apocalyptic number.

20428984900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20428984900 is the 142930-th square number.

It is an amenable number.

20428984900 is an abundant number, since it is smaller than the sum of its proper divisors (23905014131).

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

20428984900 is an frugal number, since it uses more digits than its factorization.

20428984900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28600 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 20428984900 in words is "twenty billion, four hundred twenty-eight million, nine hundred eighty-four thousand, nine hundred".