5979928900 has 243 divisors, whose sum is σ = 15471429687. Its totient is φ = 2004393600.

The previous prime is 5979928879. The next prime is 5979928909. The reversal of 5979928900 is 98299795.

The square root of 5979928900 is 77330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 567678276 + 5412250624 = 23826^2 + 73568^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5979928909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 161619682 + ... + 161619718.

Almost surely, 2^5979928900 is an apocalyptic number.

5979928900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5979928900 is the 77330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5979928900

5979928900 is an abundant number, since it is smaller than the sum of its proper divisors (9491500787).

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

5979928900 is a wasteful number, since it uses less digits than its factorization.

5979928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 58.

The cubic root of 5979928900 is about 1815.0921287793.

The spelling of 5979928900 in words is "five billion, nine hundred seventy-nine million, nine hundred twenty-eight thousand, nine hundred".