628796448 has 288 divisors, whose sum is σ = 2173796352. Its totient is φ = 168537600.

The previous prime is 628796411. The next prime is 628796477. The reversal of 628796448 is 844697826.

628796448 is a `hidden beast` number, since 628 + 7 + 9 + 6 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 628796394 and 628796403.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3292033 + ... + 3292223.

It is an arithmetic number, because the mean of its divisors is an integer number (7547904).

Almost surely, 2^628796448 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 628796448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086898176).

628796448 is an abundant number, since it is smaller than the sum of its proper divisors (1544999904).

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

628796448 is a wasteful number, since it uses less digits than its factorization.

628796448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 628796448 is about 25075.8140047337. The cubic root of 628796448 is about 856.7156358596.

The spelling of 628796448 in words is "six hundred twenty-eight million, seven hundred ninety-six thousand, four hundred forty-eight".