315528352 has 48 divisors (see below), whose sum is σ = 670602240. Its totient is φ = 145691392.

The previous prime is 315528287. The next prime is 315528359. The reversal of 315528352 is 253825513.

It is not an unprimeable number, because it can be changed into a prime (315528359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13953 + ... + 28735.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^315528352 is an apocalyptic number.

315528352 is a gapful number since it is divisible by the number (32) 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 315528352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

315528352 is an abundant number, since it is smaller than the sum of its proper divisors (355073888).

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

315528352 is a wasteful number, since it uses less digits than its factorization.

315528352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14845 (or 14837 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 315528352 is about 17763.1177443601. The cubic root of 315528352 is about 680.7894176905.

The spelling of 315528352 in words is "three hundred fifteen million, five hundred twenty-eight thousand, three hundred fifty-two".