512728650 has 288 divisors, whose sum is σ = 1720068480. Its totient is φ = 111767040.

The previous prime is 512728649. The next prime is 512728669. The reversal of 512728650 is 56827215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1521282 + ... + 1521618.

It is an arithmetic number, because the mean of its divisors is an integer number (5972460).

Almost surely, 2^512728650 is an apocalyptic number.

512728650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 512728650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860034240).

512728650 is an abundant number, since it is smaller than the sum of its proper divisors (1207339830).

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

512728650 is a wasteful number, since it uses less digits than its factorization.

512728650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 512728650 is about 22643.5123158930. The cubic root of 512728650 is about 800.3793253203.

The spelling of 512728650 in words is "five hundred twelve million, seven hundred twenty-eight thousand, six hundred fifty".