628542288 has 160 divisors (see below), whose sum is σ = 2036476800. Its totient is φ = 183859200.

The previous prime is 628542253. The next prime is 628542301. The reversal of 628542288 is 882245826.

628542288 is a `hidden beast` number, since 6 + 28 + 542 + 2 + 88 = 666.

628542288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135528 + ... + 140088.

It is an arithmetic number, because the mean of its divisors is an integer number (12727980).

Almost surely, 2^628542288 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 628542288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018238400).

628542288 is an abundant number, since it is smaller than the sum of its proper divisors (1407934512).

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

628542288 is a wasteful number, since it uses less digits than its factorization.

628542288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4606 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 628542288 is about 25070.7456610289. The cubic root of 628542288 is about 856.6001919346.

The spelling of 628542288 in words is "six hundred twenty-eight million, five hundred forty-two thousand, two hundred eighty-eight".