48528000 has 192 divisors, whose sum is σ = 174793320. Its totient is φ = 12902400.

The previous prime is 48527939. The next prime is 48528079. The reversal of 48528000 is 82584.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 39237696 = 3048^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 143832 + ... + 144168.

Almost surely, 2^48528000 is an apocalyptic number.

48528000 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 48528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87396660).

48528000 is an abundant number, since it is smaller than the sum of its proper divisors (126265320).

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

48528000 is a wasteful number, since it uses less digits than its factorization.

48528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48528000 is about 6966.2041313760. The cubic root of 48528000 is about 364.7518172744.

The spelling of 48528000 in words is "forty-eight million, five hundred twenty-eight thousand".