5797628928 has 528 divisors, whose sum is σ = 21363736576. Its totient is φ = 1473085440.

The previous prime is 5797628927. The next prime is 5797628957. The reversal of 5797628928 is 8298267975.

It is a super-2 number, since 2×5797628928² = 67225002373564858368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5797628927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25998225 + ... + 25998447.

Almost surely, 2^5797628928 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 5797628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681868288).

5797628928 is an abundant number, since it is smaller than the sum of its proper divisors (15566107648).

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

5797628928 is a wasteful number, since it uses less digits than its factorization.

5797628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 5797628928 is about 76142.1626170416. The cubic root of 5797628928 is about 1796.4569119056.

The spelling of 5797628928 in words is "five billion, seven hundred ninety-seven million, six hundred twenty-eight thousand, nine hundred twenty-eight".