628302528 has 224 divisors, whose sum is σ = 2132787200. Its totient is φ = 177666048.

The previous prime is 628302527. The next prime is 628302547. The reversal of 628302528 is 825203826.

628302528 is a `hidden beast` number, since 628 + 3 + 0 + 2 + 5 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 628302492 and 628302501.

It is not an unprimeable number, because it can be changed into a prime (628302527) 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, 1535988 + ... + 1536396.

Almost surely, 2^628302528 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 628302528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066393600).

628302528 is an abundant number, since it is smaller than the sum of its proper divisors (1504484672).

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

628302528 is a wasteful number, since it uses less digits than its factorization.

628302528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 628302528 is about 25065.9635362377. The cubic root of 628302528 is about 856.4912602124.

The spelling of 628302528 in words is "six hundred twenty-eight million, three hundred two thousand, five hundred twenty-eight".