5629000 has 64 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 2073600.

The previous prime is 5628991. The next prime is 5629003. The reversal of 5629000 is 9265.

It can be written as a sum of positive squares in 8 ways, for example, as 311364 + 5317636 = 558^2 + 2306^2 .

It is not an unprimeable number, because it can be changed into a prime (5629003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12784 + ... + 13216.

Almost surely, 2^5629000 is an apocalyptic number.

5629000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5629000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

5629000 is an abundant number, since it is smaller than the sum of its proper divisors (8588840).

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

5629000 is a wasteful number, since it uses less digits than its factorization.

5629000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5629000 is about 2372.5513693069. The cubic root of 5629000 is about 177.8868110085.

The spelling of 5629000 in words is "five million, six hundred twenty-nine thousand".