48283200 has 252 divisors, whose sum is σ = 196535040. Its totient is φ = 11013120.

The previous prime is 48283163. The next prime is 48283201. The reversal of 48283200 is 238284.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (48283201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100561 + ... + 101039.

Almost surely, 2^48283200 is an apocalyptic number.

48283200 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 48283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98267520).

48283200 is an abundant number, since it is smaller than the sum of its proper divisors (148251840).

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

48283200 is a wasteful number, since it uses less digits than its factorization.

48283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48283200 is about 6948.6113720656. The cubic root of 48283200 is about 364.1374516119.

The spelling of 48283200 in words is "forty-eight million, two hundred eighty-three thousand, two hundred".