629728 has 24 divisors (see below), whose sum is σ = 1353240. Its totient is φ = 286080.

The previous prime is 629723. The next prime is 629737. The reversal of 629728 is 827926.

629728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 6⁶ + 2¹¹ + 7⁵ + 9⁶ + 2¹⁵ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 629693 and 629702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 543 + ... + 1246.

It is an arithmetic number, because the mean of its divisors is an integer number (56385).

629728 is a Friedman number, since it can be written as 6^9/(8*2)-2^7, using all its digits and the basic arithmetic operations.

2⁶²⁹⁷²⁸ is an apocalyptic number.

It is an amenable number.

629728 is an abundant number, since it is smaller than the sum of its proper divisors (723512).

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

629728 is a wasteful number, since it uses less digits than its factorization.

629728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1802 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 629728 is about 793.5540309267. The cubic root of 629728 is about 85.7138497332.

The spelling of 629728 in words is "six hundred twenty-nine thousand, seven hundred twenty-eight".