53768448 has 90 divisors (see below), whose sum is σ = 160389614. Its totient is φ = 17915904.

The previous prime is 53768431. The next prime is 53768453. The reversal of 53768448 is 84486735.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 5992704 = 6912^2 + 2448^2 .

53768448 is a modest number, since divided by 8448 gives 5376 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19440 + ... + 22032.

Almost surely, 2^53768448 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 53768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80194807).

53768448 is an abundant number, since it is smaller than the sum of its proper divisors (106621166).

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

53768448 is an equidigital number, since it uses as much as digits as its factorization.

53768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2598 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 53768448 is about 7332.6971845290. The cubic root of 53768448 is about 377.4352867742.

It can be divided in two parts, 5376 and 8448, that added together give a cube (13824 = 24³).

The spelling of 53768448 in words is "fifty-three million, seven hundred sixty-eight thousand, four hundred forty-eight".