628416591 has 8 divisors (see below), whose sum is σ = 914060544. Its totient is φ = 380858520.

The previous prime is 628416559. The next prime is 628416641. The reversal of 628416591 is 195614826.

628416591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 628416591 - 2⁵ = 628416559 is a prime.

It is a super-3 number, since 3×628416591³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628416091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9521431 + ... + 9521496.

It is an arithmetic number, because the mean of its divisors is an integer number (114257568).

Almost surely, 2^628416591 is an apocalyptic number.

628416591 is a deficient number, since it is larger than the sum of its proper divisors (285643953).

628416591 is a wasteful number, since it uses less digits than its factorization.

628416591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19042941.

The product of its digits is 103680, while the sum is 42.

The square root of 628416591 is about 25068.2386896248. The cubic root of 628416591 is about 856.5430866533.

The spelling of 628416591 in words is "six hundred twenty-eight million, four hundred sixteen thousand, five hundred ninety-one".