5827405248 has 336 divisors, whose sum is σ = 20810768640. Its totient is φ = 1566093312.

The previous prime is 5827405223. The next prime is 5827405249. The reversal of 5827405248 is 8425047285.

5827405248 is a `hidden beast` number, since 5 + 82 + 7 + 40 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827405249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3494911 + ... + 3496577.

Almost surely, 2^5827405248 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 5827405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10405384320).

5827405248 is an abundant number, since it is smaller than the sum of its proper divisors (14983363392).

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

5827405248 is a wasteful number, since it uses less digits than its factorization.

5827405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 5827405248 is about 76337.4432896465. The cubic root of 5827405248 is about 1799.5271646924.

The spelling of 5827405248 in words is "five billion, eight hundred twenty-seven million, four hundred five thousand, two hundred forty-eight".