5658282900 has 432 divisors, whose sum is σ = 19450005120. Its totient is φ = 1371955200.

The previous prime is 5658282899. The next prime is 5658282937. The reversal of 5658282900 is 92828565.

5658282900 is a `hidden beast` number, since 565 + 8 + 2 + 82 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50073244 + ... + 50073356.

It is an arithmetic number, because the mean of its divisors is an integer number (45023160).

Almost surely, 2^5658282900 is an apocalyptic number.

5658282900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5658282900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9725002560).

5658282900 is an abundant number, since it is smaller than the sum of its proper divisors (13791722220).

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

5658282900 is a wasteful number, since it uses less digits than its factorization.

5658282900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5658282900 is about 75221.5587448173. The cubic root of 5658282900 is about 1781.9474225589.

The spelling of 5658282900 in words is "five billion, six hundred fifty-eight million, two hundred eighty-two thousand, nine hundred".