53528544 has 72 divisors (see below), whose sum is σ = 158859792. Its totient is φ = 17064960.

The previous prime is 53528479. The next prime is 53528549. The reversal of 53528544 is 44582535.

53528544 is a `hidden beast` number, since 535 + 2 + 85 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 53528499 and 53528508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53528549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584 + ... + 10664.

It is an arithmetic number, because the mean of its divisors is an integer number (2206386).

Almost surely, 2^53528544 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 53528544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79429896).

53528544 is an abundant number, since it is smaller than the sum of its proper divisors (105331248).

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

53528544 is a wasteful number, since it uses less digits than its factorization.

53528544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 8109 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 53528544 is about 7316.3203866425. The cubic root of 53528544 is about 376.8731030490.

The spelling of 53528544 in words is "fifty-three million, five hundred twenty-eight thousand, five hundred forty-four".