628023000 has 128 divisors (see below), whose sum is σ = 2137674240. Its totient is φ = 152240000.

The previous prime is 628022971. The next prime is 628023007. The reversal of 628023000 is 320826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628023007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23485 + ... + 42515.

It is an arithmetic number, because the mean of its divisors is an integer number (16700580).

Almost surely, 2^628023000 is an apocalyptic number.

628023000 is a gapful number since it is divisible by the number (60) 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 628023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068837120).

628023000 is an abundant number, since it is smaller than the sum of its proper divisors (1509651240).

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

628023000 is a wasteful number, since it uses less digits than its factorization.

628023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19066 (or 19052 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 628023000 is about 25060.3870680403. The cubic root of 628023000 is about 856.3642254420.

Adding to 628023000 its reverse (320826), we get a palindrome (628343826).

The spelling of 628023000 in words is "six hundred twenty-eight million, twenty-three thousand".