4808828160 has 216 divisors, whose sum is σ = 16806843144. Its totient is φ = 1269350400.

The previous prime is 4808828149. The next prime is 4808828183. The reversal of 4808828160 is 618288084.

It is a happy number.

4808828160 is a `hidden beast` number, since 480 + 8 + 8 + 2 + 8 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2185749504 + 2623078656 = 46752^2 + 51216^2 .

It is a super-3 number, since 3×4808828160³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161454 + ... + 1165586.

It is an arithmetic number, because the mean of its divisors is an integer number (77809459).

Almost surely, 2^4808828160 is an apocalyptic number.

4808828160 is a gapful number since it is divisible by the number (40) 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 4808828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8403421572).

4808828160 is an abundant number, since it is smaller than the sum of its proper divisors (11998014984).

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

4808828160 is a wasteful number, since it uses less digits than its factorization.

4808828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 4808828160 is about 69345.7147919033. The cubic root of 4808828160 is about 1687.8988581463.

The spelling of 4808828160 in words is "four billion, eight hundred eight million, eight hundred twenty-eight thousand, one hundred sixty".