20286028400 has 240 divisors, whose sum is σ = 54407330208. Its totient is φ = 7206912000.

The previous prime is 20286028393. The next prime is 20286028453. The reversal of 20286028400 is 482068202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44004170 + ... + 44004630.

Almost surely, 2^20286028400 is an apocalyptic number.

20286028400 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 20286028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27203665104).

20286028400 is an abundant number, since it is smaller than the sum of its proper divisors (34121301808).

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

20286028400 is a wasteful number, since it uses less digits than its factorization.

20286028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 20286028400 in words is "twenty billion, two hundred eighty-six million, twenty-eight thousand, four hundred".