4528906560 has 448 divisors, whose sum is σ = 16975165440. Its totient is φ = 1134673920.

The previous prime is 4528906531. The next prime is 4528906579. The reversal of 4528906560 is 656098254.

4528906560 is a `hidden beast` number, since 4 + 5 + 2 + 89 + 0 + 6 + 560 = 666.

It is a super-2 number, since 2×4528906560² = 41021989258422067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9909852 + ... + 9910308.

Almost surely, 2^4528906560 is an apocalyptic number.

4528906560 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 4528906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487582720).

4528906560 is an abundant number, since it is smaller than the sum of its proper divisors (12446258880).

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

4528906560 is a wasteful number, since it uses less digits than its factorization.

4528906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4528906560 is about 67297.1512027069. The cubic root of 4528906560 is about 1654.4911692603.

The spelling of 4528906560 in words is "four billion, five hundred twenty-eight million, nine hundred six thousand, five hundred sixty".