628746000 has 160 divisors (see below), whose sum is σ = 2075069568. Its totient is φ = 163699200.

The previous prime is 628745989. The next prime is 628746059. The reversal of 628746000 is 647826.

628746000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 256782 + ... + 259218.

Almost surely, 2^628746000 is an apocalyptic number.

628746000 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 628746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037534784).

628746000 is an abundant number, since it is smaller than the sum of its proper divisors (1446323568).

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

628746000 is a wasteful number, since it uses less digits than its factorization.

628746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 628746000 is about 25074.8080750382. The cubic root of 628746000 is about 856.6927239690.

The spelling of 628746000 in words is "six hundred twenty-eight million, seven hundred forty-six thousand".