628320407 has 8 divisors (see below), whose sum is σ = 738166800. Its totient is φ = 527261760.

The previous prime is 628320377. The next prime is 628320457. The reversal of 628320407 is 704023826.

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

It is a cyclic number.

It is not a de Polignac number, because 628320407 - 2¹⁴ = 628304023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628320457) 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, 2196782 + ... + 2197067.

It is an arithmetic number, because the mean of its divisors is an integer number (92270850).

Almost surely, 2^628320407 is an apocalyptic number.

628320407 is a deficient number, since it is larger than the sum of its proper divisors (109846393).

628320407 is a wasteful number, since it uses less digits than its factorization.

628320407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393873.

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 628320407 is about 25066.3201726939. The cubic root of 628320407 is about 856.4993842510.

The spelling of 628320407 in words is "six hundred twenty-eight million, three hundred twenty thousand, four hundred seven".