4928616000 has 1008 divisors, whose sum is σ = 22549542912. Its totient is φ = 1016064000.

The previous prime is 4928615987. The next prime is 4928616071. The reversal of 4928616000 is 6168294.

4928616000 is a `hidden beast` number, since 49 + 2 + 8 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 38807937 + ... + 38808063.

Almost surely, 2^4928616000 is an apocalyptic number.

4928616000 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 4928616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11274771456).

4928616000 is an abundant number, since it is smaller than the sum of its proper divisors (17620926912).

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

4928616000 is a wasteful number, since it uses less digits than its factorization.

4928616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4928616000 is about 70204.1024442304. The cubic root of 4928616000 is about 1701.7992484396.

The spelling of 4928616000 in words is "four billion, nine hundred twenty-eight million, six hundred sixteen thousand".