42728485200 has 120 divisors (see below), whose sum is σ = 136984568736. Its totient is φ = 11385024000.

The previous prime is 42728485187. The next prime is 42728485237. The reversal of 42728485200 is 258482724.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1535410 + ... + 1562990.

Almost surely, 2^42728485200 is an apocalyptic number.

42728485200 is a gapful number since it is divisible by the number (40) 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 42728485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68492284368).

42728485200 is an abundant number, since it is smaller than the sum of its proper divisors (94256083536).

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

42728485200 is a wasteful number, since it uses less digits than its factorization.

42728485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28893 (or 28882 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 42728485200 in words is "forty-two billion, seven hundred twenty-eight million, four hundred eighty-five thousand, two hundred".