5082937200 has 360 divisors, whose sum is σ = 19659384576. Its totient is φ = 1205568000.

The previous prime is 5082937193. The next prime is 5082937201. The reversal of 5082937200 is 27392805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (5082937201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1859835 + ... + 1862565.

Almost surely, 2^5082937200 is an apocalyptic number.

5082937200 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 5082937200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829692288).

5082937200 is an abundant number, since it is smaller than the sum of its proper divisors (14576447376).

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

5082937200 is a wasteful number, since it uses less digits than its factorization.

5082937200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5082937200 is about 71294.7207021670. The cubic root of 5082937200 is about 1719.3788544934.

The spelling of 5082937200 in words is "five billion, eighty-two million, nine hundred thirty-seven thousand, two hundred".