628864560 has 280 divisors, whose sum is σ = 2254168224. Its totient is φ = 162984960.

The previous prime is 628864553. The next prime is 628864591. The reversal of 628864560 is 65468826.

628864560 is a `hidden beast` number, since 6 + 2 + 8 + 86 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2390989 + ... + 2391251.

Almost surely, 2^628864560 is an apocalyptic number.

628864560 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 628864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127084112).

628864560 is an abundant number, since it is smaller than the sum of its proper divisors (1625303664).

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

628864560 is a wasteful number, since it uses less digits than its factorization.

628864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 628864560 is about 25077.1720893724. The cubic root of 628864560 is about 856.7465682378.

The spelling of 628864560 in words is "six hundred twenty-eight million, eight hundred sixty-four thousand, five hundred sixty".