52430688 has 72 divisors (see below), whose sum is σ = 149837688. Its totient is φ = 17390592.

The previous prime is 52430687. The next prime is 52430713. The reversal of 52430688 is 88603425.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52430681) 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, 88120 + ... + 88712.

It is an arithmetic number, because the mean of its divisors is an integer number (2081079).

Almost surely, 2^52430688 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 52430688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74918844).

52430688 is an abundant number, since it is smaller than the sum of its proper divisors (97407000).

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

52430688 is a wasteful number, since it uses less digits than its factorization.

52430688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52430688 is about 7240.9038109893. The cubic root of 52430688 is about 374.2787630687.

The spelling of 52430688 in words is "fifty-two million, four hundred thirty thousand, six hundred eighty-eight".