628578000 has 240 divisors, whose sum is σ = 2245142016. Its totient is φ = 163833600.

The previous prime is 628577993. The next prime is 628578001. The reversal of 628578000 is 875826.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×628578000² = 790220604168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628578001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845629 + ... + 846371.

Almost surely, 2^628578000 is an apocalyptic number.

628578000 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 628578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122571008).

628578000 is an abundant number, since it is smaller than the sum of its proper divisors (1616564016).

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

628578000 is a wasteful number, since it uses less digits than its factorization.

628578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 628578000 is about 25071.4578754407. The cubic root of 628578000 is about 856.6164148297.

The spelling of 628578000 in words is "six hundred twenty-eight million, five hundred seventy-eight thousand".