52777344 has 64 divisors (see below), whose sum is σ = 141200640. Its totient is φ = 17465856.

The previous prime is 52777343. The next prime is 52777349. The reversal of 52777344 is 44377725.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52777343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63717 + ... + 64539.

It is an arithmetic number, because the mean of its divisors is an integer number (2206260).

Almost surely, 2^52777344 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 52777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70600320).

52777344 is an abundant number, since it is smaller than the sum of its proper divisors (88423296).

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

52777344 is a wasteful number, since it uses less digits than its factorization.

52777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its digits is 164640, while the sum is 39.

The square root of 52777344 is about 7264.8017178723. The cubic root of 52777344 is about 375.1018247932.

It can be divided in two parts, 5277 and 7344, that added together give a palindrome (12621).

The spelling of 52777344 in words is "fifty-two million, seven hundred seventy-seven thousand, three hundred forty-four".