4682528500 has 96 divisors (see below), whose sum is σ = 11393534880. Its totient is φ = 1669248000.

The previous prime is 4682528497. The next prime is 4682528503. The reversal of 4682528500 is 58252864.

It is an interprime number because it is at equal distance from previous prime (4682528497) and next prime (4682528503).

It can be written as a sum of positive squares in 16 ways, for example, as 4607151376 + 75377124 = 67876^2 + 8682^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682528503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176080 + ... + 200920.

It is an arithmetic number, because the mean of its divisors is an integer number (118682655).

Almost surely, 2^4682528500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682528500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696767440).

4682528500 is an abundant number, since it is smaller than the sum of its proper divisors (6711006380).

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

4682528500 is a wasteful number, since it uses less digits than its factorization.

4682528500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24902 (or 24890 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 4682528500 is about 68429.0033538411. The cubic root of 4682528500 is about 1672.9905061957.

The spelling of 4682528500 in words is "four billion, six hundred eighty-two million, five hundred twenty-eight thousand, five hundred".