628572033 has 12 divisors (see below), whose sum is σ = 908638848. Its totient is φ = 418724280.

The previous prime is 628571987. The next prime is 628572067. The reversal of 628572033 is 330275826.

628572033 is a `hidden beast` number, since 628 + 5 + 7 + 20 + 3 + 3 = 666.

It is not a de Polignac number, because 628572033 - 2¹⁴ = 628555649 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (628572073) 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 11 ways as a sum of consecutive naturals, for example, 14373 + ... + 38258.

It is an arithmetic number, because the mean of its divisors is an integer number (75719904).

Almost surely, 2^628572033 is an apocalyptic number.

It is an amenable number.

628572033 is a deficient number, since it is larger than the sum of its proper divisors (280066815).

628572033 is a wasteful number, since it uses less digits than its factorization.

628572033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53964 (or 53961 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 628572033 is about 25071.3388752974. The cubic root of 628572033 is about 856.6137042425.

The spelling of 628572033 in words is "six hundred twenty-eight million, five hundred seventy-two thousand, thirty-three".