628017000 has 128 divisors (see below), whose sum is σ = 2110268160. Its totient is φ = 154579200.

The previous prime is 628016999. The next prime is 628017017. The reversal of 628017000 is 710826.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30949 + ... + 47051.

It is an arithmetic number, because the mean of its divisors is an integer number (16486470).

Almost surely, 2^628017000 is an apocalyptic number.

628017000 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 628017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055134080).

628017000 is an abundant number, since it is smaller than the sum of its proper divisors (1482251160).

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

628017000 is a wasteful number, since it uses less digits than its factorization.

628017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16140 (or 16126 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 628017000 is about 25060.2673569138. The cubic root of 628017000 is about 856.3614982586.

Adding to 628017000 its reverse (710826), we get a palindrome (628727826).

The spelling of 628017000 in words is "six hundred twenty-eight million, seventeen thousand".