4732528000 has 256 divisors, whose sum is σ = 12648130560. Its totient is φ = 1754726400.

The previous prime is 4732527973. The next prime is 4732528069. The reversal of 4732528000 is 8252374.

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 31 ways as a sum of consecutive naturals, for example, 34543932 + ... + 34544068.

It is an arithmetic number, because the mean of its divisors is an integer number (49406760).

Almost surely, 2^4732528000 is an apocalyptic number.

4732528000 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 4732528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324065280).

4732528000 is an abundant number, since it is smaller than the sum of its proper divisors (7915602560).

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

4732528000 is a wasteful number, since it uses less digits than its factorization.

4732528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 4732528000 is about 68793.3717737399. The cubic root of 4732528000 is about 1678.9241032661.

The spelling of 4732528000 in words is "four billion, seven hundred thirty-two million, five hundred twenty-eight thousand".