5766028416 has 224 divisors, whose sum is σ = 17522254620. Its totient is φ = 1888634880.

The previous prime is 5766028403. The next prime is 5766028423. The reversal of 5766028416 is 6148206675.

5766028416 is a `hidden beast` number, since 576 + 60 + 2 + 8 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3528360000 + 2237668416 = 59400^2 + 47304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5691526 + ... + 5692538.

Almost surely, 2^5766028416 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 5766028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761127310).

5766028416 is an abundant number, since it is smaller than the sum of its proper divisors (11756226204).

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

5766028416 is an equidigital number, since it uses as much as digits as its factorization.

5766028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5766028416 is about 75934.3691354580. The cubic root of 5766028416 is about 1793.1870456750.

The spelling of 5766028416 in words is "five billion, seven hundred sixty-six million, twenty-eight thousand, four hundred sixteen".