5753792448 has 224 divisors, whose sum is σ = 17938821120. Its totient is φ = 1805276160.

The previous prime is 5753792431. The next prime is 5753792453. The reversal of 5753792448 is 8442973575.

It is a happy number.

5753792448 is a `hidden beast` number, since 575 + 3 + 7 + 9 + 24 + 48 = 666.

It is a super-3 number, since 3×5753792448³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5753792394 and 5753792403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980565 + ... + 1983467.

Almost surely, 2^5753792448 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 5753792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969410560).

5753792448 is an abundant number, since it is smaller than the sum of its proper divisors (12185028672).

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

5753792448 is a wasteful number, since it uses less digits than its factorization.

5753792448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2976 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 5753792448 is about 75853.7569801259. The cubic root of 5753792448 is about 1791.9177191706.

The spelling of 5753792448 in words is "five billion, seven hundred fifty-three million, seven hundred ninety-two thousand, four hundred forty-eight".