5756428800 has 360 divisors, whose sum is σ = 20837724336. Its totient is φ = 1517445120.

The previous prime is 5756428793. The next prime is 5756428817. The reversal of 5756428800 is 88246575.

5756428800 is a `hidden beast` number, since 5 + 7 + 564 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 12326167 + ... + 12326633.

Almost surely, 2^5756428800 is an apocalyptic number.

5756428800 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 5756428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10418862168).

5756428800 is an abundant number, since it is smaller than the sum of its proper divisors (15081295536).

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

5756428800 is a wasteful number, since it uses less digits than its factorization.

5756428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5756428800 is about 75871.1328503799. The cubic root of 5756428800 is about 1792.1913592418.

The spelling of 5756428800 in words is "five billion, seven hundred fifty-six million, four hundred twenty-eight thousand, eight hundred".