5757628600 has 24 divisors (see below), whose sum is σ = 13386486960. Its totient is φ = 2303051360.

The previous prime is 5757628589. The next prime is 5757628601. The reversal of 5757628600 is 68267575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757628601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14393872 + ... + 14394271.

It is an arithmetic number, because the mean of its divisors is an integer number (557770290).

Almost surely, 2^5757628600 is an apocalyptic number.

5757628600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5757628600 is an abundant number, since it is smaller than the sum of its proper divisors (7628858360).

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

5757628600 is a wasteful number, since it uses less digits than its factorization.

5757628600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28788159 (or 28788150 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The square root of 5757628600 is about 75879.0392664536. The cubic root of 5757628600 is about 1792.3158647812.

The spelling of 5757628600 in words is "five billion, seven hundred fifty-seven million, six hundred twenty-eight thousand, six hundred".