629928 has 48 divisors (see below), whose sum is σ = 1840020. Its totient is φ = 193536.

The previous prime is 629927. The next prime is 629929. The reversal of 629928 is 829926.

629928 = T₂₀₇ + T₂₀₈ + ... + T₂₃₂.

629928 is a `hidden beast` number, since 629 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (629927) and next prime (629929).

It can be written as a sum of positive squares in 2 ways, for example, as 580644 + 49284 = 762^2 + 222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 629892 and 629901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600 + ... + 1272.

2⁶²⁹⁹²⁸ 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 629928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920010).

629928 is an abundant number, since it is smaller than the sum of its proper divisors (1210092).

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

629928 is a wasteful number, since it uses less digits than its factorization.

629928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 691 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 629928 is about 793.6800362867. The cubic root of 629928 is about 85.7229229391.

The spelling of 629928 in words is "six hundred twenty-nine thousand, nine hundred twenty-eight".