4628842848 has 288 divisors, whose sum is σ = 15708236544. Its totient is φ = 1313459712.

The previous prime is 4628842847. The next prime is 4628842861. The reversal of 4628842848 is 8482488264.

4628842848 is a `hidden beast` number, since 4 + 628 + 8 + 4 + 2 + 8 + 4 + 8 = 666.

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

It is a super-2 number, since 2×4628842848² = 42852372222961502208, which contains 22 as substring.

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 = 4628842794 and 4628842803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628842847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15077511 + ... + 15077817.

It is an arithmetic number, because the mean of its divisors is an integer number (54542488).

Almost surely, 2^4628842848 is an apocalyptic number.

4628842848 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 4628842848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854118272).

4628842848 is an abundant number, since it is smaller than the sum of its proper divisors (11079393696).

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

4628842848 is a wasteful number, since it uses less digits than its factorization.

4628842848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 596 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The square root of 4628842848 is about 68035.5998577215. The cubic root of 4628842848 is about 1666.5722475222.

The spelling of 4628842848 in words is "four billion, six hundred twenty-eight million, eight hundred forty-two thousand, eight hundred forty-eight".