4920946128 has 480 divisors, whose sum is σ = 17318296320. Its totient is φ = 1332495360.

The previous prime is 4920946111. The next prime is 4920946181. The reversal of 4920946128 is 8216490294.

4920946128 is a `hidden beast` number, since 4 + 9 + 20 + 9 + 4 + 612 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47776125 + ... + 47776227.

It is an arithmetic number, because the mean of its divisors is an integer number (36079784).

Almost surely, 2^4920946128 is an apocalyptic number.

4920946128 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 4920946128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659148160).

4920946128 is an abundant number, since it is smaller than the sum of its proper divisors (12397350192).

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

4920946128 is a wasteful number, since it uses less digits than its factorization.

4920946128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4920946128 is about 70149.4556500619. The cubic root of 4920946128 is about 1700.9160147529.

The spelling of 4920946128 in words is "four billion, nine hundred twenty million, nine hundred forty-six thousand, one hundred twenty-eight".