53827488 has 144 divisors (see below), whose sum is σ = 179970336. Its totient is φ = 15045120.

The previous prime is 53827481. The next prime is 53827493. The reversal of 53827488 is 88472835.

53827488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (53827481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40531 + ... + 41837.

It is an arithmetic number, because the mean of its divisors is an integer number (1249794).

Almost surely, 2^53827488 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 53827488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89985168).

53827488 is an abundant number, since it is smaller than the sum of its proper divisors (126142848).

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

53827488 is a wasteful number, since it uses less digits than its factorization.

53827488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1336 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 53827488 is about 7336.7218837843. The cubic root of 53827488 is about 377.5733828073.

It can be divided in two parts, 53 and 827488, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 53827488 in words is "fifty-three million, eight hundred twenty-seven thousand, four hundred eighty-eight".