387528505 has 48 divisors (see below), whose sum is σ = 585993744. Its totient is φ = 243855360.

The previous prime is 387528497. The next prime is 387528529. The reversal of 387528505 is 505825783.

It can be written as a sum of positive squares in 8 ways, for example, as 58323769 + 329204736 = 7637^2 + 18144^2 .

It is not a de Polignac number, because 387528505 - 2³ = 387528497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894769 + ... + 895201.

It is an arithmetic number, because the mean of its divisors is an integer number (12208203).

Almost surely, 2^387528505 is an apocalyptic number.

387528505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

387528505 is a deficient number, since it is larger than the sum of its proper divisors (198465239).

387528505 is a wasteful number, since it uses less digits than its factorization.

387528505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The square root of 387528505 is about 19685.7436994389. The cubic root of 387528505 is about 729.0677440914.

The spelling of 387528505 in words is "three hundred eighty-seven million, five hundred twenty-eight thousand, five hundred five".