628776960 has 448 divisors, whose sum is σ = 2491264512. Its totient is φ = 132120576.

The previous prime is 628776947. The next prime is 628776961. The reversal of 628776960 is 69677826.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628776961) 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, 14622699 + ... + 14622741.

Almost surely, 2^628776960 is an apocalyptic number.

628776960 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 628776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245632256).

628776960 is an abundant number, since it is smaller than the sum of its proper divisors (1862487552).

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

628776960 is a wasteful number, since it uses less digits than its factorization.

628776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 628776960 is about 25075.4254201200. The cubic root of 628776960 is about 856.7067851699.

The spelling of 628776960 in words is "six hundred twenty-eight million, seven hundred seventy-six thousand, nine hundred sixty".