628117672 has 144 divisors (see below), whose sum is σ = 1548941940. Its totient is φ = 236662272.

The previous prime is 628117657. The next prime is 628117673. The reversal of 628117672 is 276711826.

It can be written as a sum of positive squares in 2 ways, for example, as 552532036 + 75585636 = 23506^2 + 8694^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628117673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2695668 + ... + 2695900.

Almost surely, 2^628117672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628117672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774470970).

628117672 is an abundant number, since it is smaller than the sum of its proper divisors (920824268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

628117672 is a wasteful number, since it uses less digits than its factorization.

628117672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 278 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 628117672 is about 25062.2758743096. The cubic root of 628117672 is about 856.4072544608.

The spelling of 628117672 in words is "six hundred twenty-eight million, one hundred seventeen thousand, six hundred seventy-two".