52688000 has 128 divisors (see below), whose sum is σ = 136047600. Its totient is φ = 20275200.

The previous prime is 52687997. The next prime is 52688017. The reversal of 52688000 is 88625.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3013696 + 49674304 = 1736^2 + 7048^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591956 + ... + 592044.

Almost surely, 2^52688000 is an apocalyptic number.

52688000 is a gapful number since it is divisible by the number (50) 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 52688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68023800).

52688000 is an abundant number, since it is smaller than the sum of its proper divisors (83359600).

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

52688000 is an equidigital number, since it uses as much as digits as its factorization.

52688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 52688000 is about 7258.6500122268. The cubic root of 52688000 is about 374.8900418351.

The spelling of 52688000 in words is "fifty-two million, six hundred eighty-eight thousand".