628183040 has 104 divisors (see below), whose sum is σ = 1550064840. Its totient is φ = 244187136.

The previous prime is 628183037. The next prime is 628183043. The reversal of 628183040 is 40381826.

It is an interprime number because it is at equal distance from previous prime (628183037) and next prime (628183043).

It can be written as a sum of positive squares in 4 ways, for example, as 192876544 + 435306496 = 13888^2 + 20864^2 .

It is a super-2 number, since 2×628183040² = 789227863487283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 628182988 and 628183006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628183043) 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, 757346 + ... + 758174.

Almost surely, 2^628183040 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 628183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775032420).

628183040 is an abundant number, since it is smaller than the sum of its proper divisors (921881800).

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

628183040 is an equidigital number, since it uses as much as digits as its factorization.

628183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 628183040 is about 25063.5799517946. The cubic root of 628183040 is about 856.4369621042.

The spelling of 628183040 in words is "six hundred twenty-eight million, one hundred eighty-three thousand, forty".