628132047 has 16 divisors (see below), whose sum is σ = 874540800. Its totient is φ = 400264832.

The previous prime is 628132027. The next prime is 628132049. The reversal of 628132047 is 740231826.

It is a cyclic number.

It is not a de Polignac number, because 628132047 - 2¹⁸ = 627869903 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 628131999 and 628132017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628132049) 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, 142663 + ... + 146999.

It is an arithmetic number, because the mean of its divisors is an integer number (54658800).

Almost surely, 2^628132047 is an apocalyptic number.

628132047 is a deficient number, since it is larger than the sum of its proper divisors (246408753).

628132047 is a wasteful number, since it uses less digits than its factorization.

628132047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 628132047 is about 25062.5626582758. The cubic root of 628132047 is about 856.4137876105.

The spelling of 628132047 in words is "six hundred twenty-eight million, one hundred thirty-two thousand, forty-seven".