47128200 has 192 divisors, whose sum is σ = 171120000. Its totient is φ = 10725120.

The previous prime is 47128187. The next prime is 47128231. The reversal of 47128200 is 282174.

47128200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 205686 + ... + 205914.

It is an arithmetic number, because the mean of its divisors is an integer number (891250).

Almost surely, 2^47128200 is an apocalyptic number.

47128200 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 47128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85560000).

47128200 is an abundant number, since it is smaller than the sum of its proper divisors (123991800).

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

47128200 is a wasteful number, since it uses less digits than its factorization.

47128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 47128200 is about 6864.9981791695. The cubic root of 47128200 is about 361.2104317641.

The spelling of 47128200 in words is "forty-seven million, one hundred twenty-eight thousand, two hundred".