628555041 has 27 divisors (see below), whose sum is σ = 929827353. Its totient is φ = 409158720.

The previous prime is 628555033. The next prime is 628555043. The reversal of 628555041 is 140555826.

The square root of 628555041 is 25071.

It is a perfect power (a square), and thus also a powerful number.

628555041 is a `hidden beast` number, since 62 + 8 + 5 + 550 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153140625 + 475414416 = 12375^2 + 21804^2 .

It is not a de Polignac number, because 628555041 - 2³ = 628555033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 628554987 and 628555005.

It is not an unprimeable number, because it can be changed into a prime (628555043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4587925 + ... + 4588061.

Almost surely, 2^628555041 is an apocalyptic number.

628555041 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

628555041 is the 25071-st square number.

628555041 is the 12536-th centered octagonal number.

It is an amenable number.

628555041 is a deficient number, since it is larger than the sum of its proper divisors (301272312).

628555041 is an equidigital number, since it uses as much as digits as its factorization.

628555041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The cubic root of 628555041 is about 856.6059853122.

Multiplying 628555041 by its sum of digits (36), we get a square (22627981476 = 150426²).

It can be divided in two parts, 62855 and 5041, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 628555041 in words is "six hundred twenty-eight million, five hundred fifty-five thousand, forty-one".