4528560960 has 560 divisors, whose sum is σ = 20092659840. Its totient is φ = 940584960.

The previous prime is 4528560899. The next prime is 4528560961. The reversal of 4528560960 is 690658254.

4528560960 is a `hidden beast` number, since 4 + 5 + 28 + 560 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×4528560960² = 41015728736872243200, 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 not an unprimeable number, because it can be changed into a prime (4528560961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1994706 + ... + 1996974.

Almost surely, 2^4528560960 is an apocalyptic number.

4528560960 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 4528560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046329920).

4528560960 is an abundant number, since it is smaller than the sum of its proper divisors (15564098880).

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

4528560960 is a wasteful number, since it uses less digits than its factorization.

4528560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2297 counting only the distinct ones).

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

The square root of 4528560960 is about 67294.5834373020. The cubic root of 4528560960 is about 1654.4490835541.

The spelling of 4528560960 in words is "four billion, five hundred twenty-eight million, five hundred sixty thousand, nine hundred sixty".