52358688 has 72 divisors (see below), whose sum is σ = 154053900. Its totient is φ = 16848384.

The previous prime is 52358687. The next prime is 52358689. The reversal of 52358688 is 88685325.

It is a happy number.

52358688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52358687) and next prime (52358689).

It can be written as a sum of positive squares in 2 ways, for example, as 52012944 + 345744 = 7212^2 + 588^2 .

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 (52358687) 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 11 ways as a sum of consecutive naturals, for example, 5218 + ... + 11486.

Almost surely, 2^52358688 is an apocalyptic number.

52358688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52358688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77026950).

52358688 is an abundant number, since it is smaller than the sum of its proper divisors (101695212).

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

52358688 is a wasteful number, since it uses less digits than its factorization.

52358688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6303 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 52358688 is about 7235.9303479235. The cubic root of 52358688 is about 374.1073595340.

The spelling of 52358688 in words is "fifty-two million, three hundred fifty-eight thousand, six hundred eighty-eight".