628947072 has 128 divisors (see below), whose sum is σ = 1999200000. Its totient is φ = 193508352.

The previous prime is 628947047. The next prime is 628947103. The reversal of 628947072 is 270749826.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37929 + ... + 51927.

It is an arithmetic number, because the mean of its divisors is an integer number (15618750).

Almost surely, 2^628947072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999600000).

628947072 is an abundant number, since it is smaller than the sum of its proper divisors (1370252928).

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

628947072 is a wasteful number, since it uses less digits than its factorization.

628947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14035 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 628947072 is about 25078.8171969892. The cubic root of 628947072 is about 856.7840372392.

It can be divided in two parts, 6289 and 47072, that added together give a square (53361 = 231²).

The spelling of 628947072 in words is "six hundred twenty-eight million, nine hundred forty-seven thousand, seventy-two".