4832352000 has 1152 divisors, whose sum is σ = 22039879680. Its totient is φ = 1017446400.

The previous prime is 4832351999. The next prime is 4832352011. The reversal of 4832352000 is 2532384.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 102815977 + ... + 102816023.

It is an arithmetic number, because the mean of its divisors is an integer number (19131840).

Almost surely, 2^4832352000 is an apocalyptic number.

4832352000 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 4832352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11019939840).

4832352000 is an abundant number, since it is smaller than the sum of its proper divisors (17207527680).

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

4832352000 is a wasteful number, since it uses less digits than its factorization.

4832352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4832352000 is about 69515.1206573074. The cubic root of 4832352000 is about 1690.6466719808.

Adding to 4832352000 its reverse (2532384), we get a palindrome (4834884384).

The spelling of 4832352000 in words is "four billion, eight hundred thirty-two million, three hundred fifty-two thousand".