628884720 has 120 divisors (see below), whose sum is σ = 2184904800. Its totient is φ = 161914368.

The previous prime is 628884703. The next prime is 628884721. The reversal of 628884720 is 27488826.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628884721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5821 + ... + 35939.

It is an arithmetic number, because the mean of its divisors is an integer number (18207540).

Almost surely, 2^628884720 is an apocalyptic number.

628884720 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 628884720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092452400).

628884720 is an abundant number, since it is smaller than the sum of its proper divisors (1556020080).

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

628884720 is a wasteful number, since it uses less digits than its factorization.

628884720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30167 (or 30158 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 628884720 is about 25077.5740453498. The cubic root of 628884720 is about 856.7557232702.

The spelling of 628884720 in words is "six hundred twenty-eight million, eight hundred eighty-four thousand, seven hundred twenty".