52819488 has 72 divisors (see below), whose sum is σ = 151026876. Its totient is φ = 17510400.

The previous prime is 52819483. The next prime is 52819489. The reversal of 52819488 is 88491825.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49956624 + 2862864 = 7068^2 + 1692^2 .

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

It is not an unprimeable number, because it can be changed into a prime (52819483) 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, 69028 + ... + 69788.

Almost surely, 2^52819488 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 52819488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75513438).

52819488 is an abundant number, since it is smaller than the sum of its proper divisors (98207388).

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

52819488 is a wasteful number, since it uses less digits than its factorization.

52819488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1007 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 52819488 is about 7267.7016999874. The cubic root of 52819488 is about 375.2016408898.

The spelling of 52819488 in words is "fifty-two million, eight hundred nineteen thousand, four hundred eighty-eight".