628467336 has 120 divisors (see below), whose sum is σ = 2047788270. Its totient is φ = 179553024.

The previous prime is 628467283. The next prime is 628467337. The reversal of 628467336 is 633764826.

It can be written as a sum of positive squares in only one way, i.e., 453434436 + 175032900 = 21294^2 + 13230^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 628467291 and 628467300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628467337) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21856 + ... + 41648.

Almost surely, 2^628467336 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 628467336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023894135).

628467336 is an abundant number, since it is smaller than the sum of its proper divisors (1419320934).

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

628467336 is a wasteful number, since it uses less digits than its factorization.

628467336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19825 (or 19805 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 628467336 is about 25069.2508065159. The cubic root of 628467336 is about 856.5661414812.

The spelling of 628467336 in words is "six hundred twenty-eight million, four hundred sixty-seven thousand, three hundred thirty-six".