53248128 has 64 divisors (see below), whose sum is σ = 147614400. Its totient is φ = 16974848.

The previous prime is 53248123. The next prime is 53248141. The reversal of 53248128 is 82184235.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×53248128³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53248123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5818 + ... + 11846.

It is an arithmetic number, because the mean of its divisors is an integer number (2306475).

Almost surely, 2^53248128 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 53248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73807200).

53248128 is an abundant number, since it is smaller than the sum of its proper divisors (94366272).

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

53248128 is a wasteful number, since it uses less digits than its factorization.

53248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6057 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 53248128 is about 7297.1314912094. The cubic root of 53248128 is about 376.2138514882.

The spelling of 53248128 in words is "fifty-three million, two hundred forty-eight thousand, one hundred twenty-eight".