5825348928 has 840 divisors, whose sum is σ = 22703820480. Its totient is φ = 1463132160.

The previous prime is 5825348923. The next prime is 5825348953. The reversal of 5825348928 is 8298435285.

It is a happy number.

5825348928 is a `hidden beast` number, since 5 + 8 + 2 + 534 + 89 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5825348923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82047133 + ... + 82047203.

Almost surely, 2^5825348928 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 5825348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351910240).

5825348928 is an abundant number, since it is smaller than the sum of its proper divisors (16878471552).

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

5825348928 is a wasteful number, since it uses less digits than its factorization.

5825348928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 5825348928 is about 76323.9734814691. The cubic root of 5825348928 is about 1799.3154730457.

The spelling of 5825348928 in words is "five billion, eight hundred twenty-five million, three hundred forty-eight thousand, nine hundred twenty-eight".