4528200240 has 320 divisors, whose sum is σ = 16661790720. Its totient is φ = 1126379520.

The previous prime is 4528200217. The next prime is 4528200241. The reversal of 4528200240 is 420028254.

It is a happy number.

4528200240 is a `hidden beast` number, since 452 + 8 + 200 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4528200241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4662955 + ... + 4663925.

It is an arithmetic number, because the mean of its divisors is an integer number (52068096).

Almost surely, 2^4528200240 is an apocalyptic number.

4528200240 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 4528200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330895360).

4528200240 is an abundant number, since it is smaller than the sum of its proper divisors (12133590480).

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

4528200240 is a wasteful number, since it uses less digits than its factorization.

4528200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4528200240 is about 67291.9032276544. The cubic root of 4528200240 is about 1654.4051543144.

Adding to 4528200240 its reverse (420028254), we get a palindrome (4948228494).

The spelling of 4528200240 in words is "four billion, five hundred twenty-eight million, two hundred thousand, two hundred forty".