53088768 has 120 divisors (see below), whose sum is σ = 157513356. Its totient is φ = 17203200.

The previous prime is 53088757. The next prime is 53088787. The reversal of 53088768 is 86788035.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 1937664 = 7152^2 + 1392^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 188788 + ... + 189068.

Almost surely, 2^53088768 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 53088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78756678).

53088768 is an abundant number, since it is smaller than the sum of its proper divisors (104424588).

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

53088768 is a wasteful number, since it uses less digits than its factorization.

53088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 53088768 is about 7286.2039499317. The cubic root of 53088768 is about 375.8381678699.

It can be divided in two parts, 530 and 88768, that added together give a palindrome (89298).

The spelling of 53088768 in words is "fifty-three million, eighty-eight thousand, seven hundred sixty-eight".