4628086848 has 336 divisors, whose sum is σ = 17269358400. Its totient is φ = 1201858560.

The previous prime is 4628086789. The next prime is 4628086849. The reversal of 4628086848 is 8486808264.

4628086848 is a `hidden beast` number, since 4 + 628 + 0 + 8 + 6 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 4628086794 and 4628086803.

It is not an unprimeable number, because it can be changed into a prime (4628086849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928908 + ... + 933876.

It is an arithmetic number, because the mean of its divisors is an integer number (51396900).

Almost surely, 2^4628086848 is an apocalyptic number.

4628086848 is a gapful number since it is divisible by the number (48) 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 4628086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634679200).

4628086848 is an abundant number, since it is smaller than the sum of its proper divisors (12641271552).

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

4628086848 is a wasteful number, since it uses less digits than its factorization.

4628086848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 4992 counting only the distinct ones).

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

The square root of 4628086848 is about 68030.0437159936. The cubic root of 4628086848 is about 1666.4815123026.

The spelling of 4628086848 in words is "four billion, six hundred twenty-eight million, eighty-six thousand, eight hundred forty-eight".