47288200 has 48 divisors (see below), whose sum is σ = 111081060. Its totient is φ = 18720000.

The previous prime is 47288191. The next prime is 47288239. The reversal of 47288200 is 288274.

It can be written as a sum of positive squares in 6 ways, for example, as 34082244 + 13205956 = 5838^2 + 3634^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19030 + ... + 21370.

Almost surely, 2^47288200 is an apocalyptic number.

47288200 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 47288200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55540530).

47288200 is an abundant number, since it is smaller than the sum of its proper divisors (63792860).

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

47288200 is a wasteful number, since it uses less digits than its factorization.

47288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 47288200 is about 6876.6416221874. The cubic root of 47288200 is about 361.6187392395.

The spelling of 47288200 in words is "forty-seven million, two hundred eighty-eight thousand, two hundred".