2000628 has 72 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 536832.

The previous prime is 2000597. The next prime is 2000629. The reversal of 2000628 is 8260002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2000628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4051 + ... + 4517.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

2^2000628 is an apocalyptic number.

2000628 is a gapful number since it is divisible by the number (28) 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 2000628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2000628 is an abundant number, since it is smaller than the sum of its proper divisors (4132044).

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

2000628 is a wasteful number, since it uses less digits than its factorization.

2000628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2000628 is about 1414.4355764756. The cubic root of 2000628 is about 126.0052907831.

It can be divided in two parts, 2000 and 628, that added together give a triangular number (2628 = T₇₂).

The spelling of 2000628 in words is "two million, six hundred twenty-eight", and thus it is an aban number.