5826624048 has 120 divisors (see below), whose sum is σ = 18687116448. Its totient is φ = 1660179456.

The previous prime is 5826624043. The next prime is 5826624049. The reversal of 5826624048 is 8404266285.

5826624048 is a `hidden beast` number, since 582 + 6 + 6 + 24 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5826623994 and 5826624012.

It is not an unprimeable number, because it can be changed into a prime (5826624043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368236 + ... + 383732.

Almost surely, 2^5826624048 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 5826624048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343558224).

5826624048 is an abundant number, since it is smaller than the sum of its proper divisors (12860492400).

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

5826624048 is a wasteful number, since it uses less digits than its factorization.

5826624048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15891 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 5826624048 is about 76332.3263630816. The cubic root of 5826624048 is about 1799.4467484875.

The spelling of 5826624048 in words is "five billion, eight hundred twenty-six million, six hundred twenty-four thousand, forty-eight".