314842528 has 96 divisors (see below), whose sum is σ = 832325760. Its totient is φ = 113218560.

The previous prime is 314842523. The next prime is 314842547. The reversal of 314842528 is 825248413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314842523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27118 + ... + 36946.

It is an arithmetic number, because the mean of its divisors is an integer number (8670060).

Almost surely, 2^314842528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314842528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416162880).

314842528 is an abundant number, since it is smaller than the sum of its proper divisors (517483232).

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

314842528 is a wasteful number, since it uses less digits than its factorization.

314842528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870 (or 9862 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 314842528 is about 17743.8025236982. The cubic root of 314842528 is about 680.2958113216.

The spelling of 314842528 in words is "three hundred fourteen million, eight hundred forty-two thousand, five hundred twenty-eight".