48032000 has 144 divisors (see below), whose sum is σ = 127545600. Its totient is φ = 17971200.

The previous prime is 48031993. The next prime is 48032003. The reversal of 48032000 is 23084.

It is a self number, because there is not a number n which added to its sum of digits gives 48032000.

It is not an unprimeable number, because it can be changed into a prime (48032003) 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 15 ways as a sum of consecutive naturals, for example, 607961 + ... + 608039.

Almost surely, 2^48032000 is an apocalyptic number.

48032000 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 48032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63772800).

48032000 is an abundant number, since it is smaller than the sum of its proper divisors (79513600).

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

48032000 is an equidigital number, since it uses as much as digits as its factorization.

48032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 48032000 is about 6930.5122465803. The cubic root of 48032000 is about 363.5048615414.

Adding to 48032000 its reverse (23084), we get a palindrome (48055084).

The spelling of 48032000 in words is "forty-eight million, thirty-two thousand".