4535877528 has 480 divisors, whose sum is σ = 16144904160. Its totient is φ = 1164533760.

The previous prime is 4535877527. The next prime is 4535877539. The reversal of 4535877528 is 8257785354.

4535877528 is a `hidden beast` number, since 4 + 5 + 3 + 587 + 7 + 52 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4535877527) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46761576 + ... + 46761672.

It is an arithmetic number, because the mean of its divisors is an integer number (33635217).

Almost surely, 2^4535877528 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 4535877528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072452080).

4535877528 is an abundant number, since it is smaller than the sum of its proper divisors (11609026632).

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

4535877528 is a wasteful number, since it uses less digits than its factorization.

4535877528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The square root of 4535877528 is about 67348.9237330486. The cubic root of 4535877528 is about 1655.3396075040.

The spelling of 4535877528 in words is "four billion, five hundred thirty-five million, eight hundred seventy-seven thousand, five hundred twenty-eight".