850428315 has 192 divisors, whose sum is σ = 1868106240. Its totient is φ = 365783040.

The previous prime is 850428311. The next prime is 850428323. The reversal of 850428315 is 513824058.

It is a happy number.

It is not a de Polignac number, because 850428315 - 2² = 850428311 is a prime.

It is a super-3 number, since 3×850428315³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 850428315.

It is not an unprimeable number, because it can be changed into a prime (850428311) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4316797 + ... + 4316993.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^850428315 is an apocalyptic number.

850428315 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

850428315 is an abundant number, since it is smaller than the sum of its proper divisors (1017677925).

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

850428315 is a wasteful number, since it uses less digits than its factorization.

850428315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 850428315 is about 29162.1040907545. The cubic root of 850428315 is about 947.4273199565.

The spelling of 850428315 in words is "eight hundred fifty million, four hundred twenty-eight thousand, three hundred fifteen".