516828600 has 240 divisors, whose sum is σ = 1827937320. Its totient is φ = 135302400.

The previous prime is 516828593. The next prime is 516828601. The reversal of 516828600 is 6828615.

It is a happy number.

516828600 is a `hidden beast` number, since 516 + 82 + 8 + 60 + 0 = 666.

It is a super-2 number, since 2×516828600² = 534223603555920000, which contains 22 as substring.

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 (516828601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 987939 + ... + 988461.

Almost surely, 2^516828600 is an apocalyptic number.

516828600 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 516828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913968660).

516828600 is an abundant number, since it is smaller than the sum of its proper divisors (1311108720).

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

516828600 is a wasteful number, since it uses less digits than its factorization.

516828600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 516828600 is about 22733.8646076728. The cubic root of 516828600 is about 802.5070311202.

The spelling of 516828600 in words is "five hundred sixteen million, eight hundred twenty-eight thousand, six hundred".