5756428440 has 288 divisors, whose sum is σ = 22102273440. Its totient is φ = 1272775680.

The previous prime is 5756428427. The next prime is 5756428459. The reversal of 5756428440 is 448246575.

5756428440 is a `hidden beast` number, since 5 + 7 + 564 + 2 + 84 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2420532 + ... + 2422908.

It is an arithmetic number, because the mean of its divisors is an integer number (76744005).

Almost surely, 2^5756428440 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 5756428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11051136720).

5756428440 is an abundant number, since it is smaller than the sum of its proper divisors (16345845000).

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

5756428440 is a wasteful number, since it uses less digits than its factorization.

5756428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 5756428440 is about 75871.1304779361. The cubic root of 5756428440 is about 1792.1913218813.

The spelling of 5756428440 in words is "five billion, seven hundred fifty-six million, four hundred twenty-eight thousand, four hundred forty".