5083282800 has 180 divisors, whose sum is σ = 18569095480. Its totient is φ = 1284180480.

The previous prime is 5083282747. The next prime is 5083282801. The reversal of 5083282800 is 82823805.

5083282800 is a `hidden beast` number, since 50 + 8 + 328 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083282801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31242 + ... + 105558.

Almost surely, 2^5083282800 is an apocalyptic number.

5083282800 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 5083282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9284547740).

5083282800 is an abundant number, since it is smaller than the sum of its proper divisors (13485812680).

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

5083282800 is a wasteful number, since it uses less digits than its factorization.

5083282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74360 (or 74346 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5083282800 is about 71297.1444028441. The cubic root of 5083282800 is about 1719.4178217179.

The spelling of 5083282800 in words is "five billion, eighty-three million, two hundred eighty-two thousand, eight hundred".