1687828563 has 16 divisors (see below), whose sum is σ = 2501237760. Its totient is φ = 1124881128.

The previous prime is 1687828559. The next prime is 1687828579. The reversal of 1687828563 is 3658287861.

1687828563 is a `hidden beast` number, since 1 + 6 + 8 + 78 + 2 + 8 + 563 = 666.

It is not a de Polignac number, because 1687828563 - 2² = 1687828559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1687828553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109606 + ... + 124052.

It is an arithmetic number, because the mean of its divisors is an integer number (156327360).

Almost surely, 2^1687828563 is an apocalyptic number.

1687828563 is a deficient number, since it is larger than the sum of its proper divisors (813409197).

1687828563 is a wasteful number, since it uses less digits than its factorization.

1687828563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18783 (or 18777 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1687828563 is about 41083.1907597256. The cubic root of 1687828563 is about 1190.6280522955.

The spelling of 1687828563 in words is "one billion, six hundred eighty-seven million, eight hundred twenty-eight thousand, five hundred sixty-three".