628846848 has 288 divisors, whose sum is σ = 2183973120. Its totient is φ = 174735360.

The previous prime is 628846831. The next prime is 628846849. The reversal of 628846848 is 848648826.

628846848 is a `hidden beast` number, since 62 + 88 + 468 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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 = 628846794 and 628846803.

It is not an unprimeable number, because it can be changed into a prime (628846849) 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 31 ways as a sum of consecutive naturals, for example, 1983586 + ... + 1983902.

It is an arithmetic number, because the mean of its divisors is an integer number (7583240).

Almost surely, 2^628846848 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 628846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091986560).

628846848 is an abundant number, since it is smaller than the sum of its proper divisors (1555126272).

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

628846848 is a wasteful number, since it uses less digits than its factorization.

628846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 628846848 is about 25076.8189370183. The cubic root of 628846848 is about 856.7385247264.

The spelling of 628846848 in words is "six hundred twenty-eight million, eight hundred forty-six thousand, eight hundred forty-eight".