314528280 has 128 divisors (see below), whose sum is σ = 1083628800. Its totient is φ = 72230400.

The previous prime is 314528267. The next prime is 314528281. The reversal of 314528280 is 82825413.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314528281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18810 + ... + 31350.

It is an arithmetic number, because the mean of its divisors is an integer number (8465850).

Almost surely, 2^314528280 is an apocalyptic number.

314528280 is a gapful number since it is divisible by the number (30) 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 314528280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541814400).

314528280 is an abundant number, since it is smaller than the sum of its proper divisors (769100520).

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

314528280 is a wasteful number, since it uses less digits than its factorization.

314528280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 314528280 is about 17734.9451648433. The cubic root of 314528280 is about 680.0693989148.

The spelling of 314528280 in words is "three hundred fourteen million, five hundred twenty-eight thousand, two hundred eighty".