628437280 has 96 divisors (see below), whose sum is σ = 1556755200. Its totient is φ = 239281152.

The previous prime is 628437253. The next prime is 628437307. The reversal of 628437280 is 82734826.

628437280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (628437253) and next prime (628437307).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1431301 + ... + 1431739.

It is an arithmetic number, because the mean of its divisors is an integer number (16216200).

Almost surely, 2^628437280 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 628437280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

628437280 is an abundant number, since it is smaller than the sum of its proper divisors (928317920).

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

628437280 is a wasteful number, since it uses less digits than its factorization.

628437280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 628437280 is about 25068.6513398707. The cubic root of 628437280 is about 856.5524863762.

The spelling of 628437280 in words is "six hundred twenty-eight million, four hundred thirty-seven thousand, two hundred eighty".