53805528 has 144 divisors (see below), whose sum is σ = 172326960. Its totient is φ = 15120000.

The previous prime is 53805509. The next prime is 53805529. The reversal of 53805528 is 82550835.

53805528 is a `hidden beast` number, since 53 + 80 + 5 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53805492 and 53805501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53805529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 356253 + ... + 356403.

It is an arithmetic number, because the mean of its divisors is an integer number (1196715).

Almost surely, 2^53805528 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 53805528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86163480).

53805528 is an abundant number, since it is smaller than the sum of its proper divisors (118521432).

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

53805528 is a wasteful number, since it uses less digits than its factorization.

53805528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 53805528 is about 7335.2251499187. The cubic root of 53805528 is about 377.5220296195.

The spelling of 53805528 in words is "fifty-three million, eight hundred five thousand, five hundred twenty-eight".