202428722000 has 80 divisors (see below), whose sum is σ = 492476342592. Its totient is φ = 80474601600.

The previous prime is 202428721993. The next prime is 202428722021. The reversal of 202428722000 is 227824202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15527 + ... + 636473.

Almost surely, 2^202428722000 is an apocalyptic number.

202428722000 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 202428722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246238171296).

202428722000 is an abundant number, since it is smaller than the sum of its proper divisors (290047620592).

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

202428722000 is a wasteful number, since it uses less digits than its factorization.

202428722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621133 (or 621117 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The spelling of 202428722000 in words is "two hundred two billion, four hundred twenty-eight million, seven hundred twenty-two thousand".