4921792128 has 576 divisors, whose sum is σ = 17268975360. Its totient is φ = 1338163200.

The previous prime is 4921792121. The next prime is 4921792147. The reversal of 4921792128 is 8212971294.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (4921792121) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 73459551 + ... + 73459617.

It is an arithmetic number, because the mean of its divisors is an integer number (29980860).

Almost surely, 2^4921792128 is an apocalyptic number.

4921792128 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 4921792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634487680).

4921792128 is an abundant number, since it is smaller than the sum of its proper divisors (12347183232).

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

4921792128 is a wasteful number, since it uses less digits than its factorization.

4921792128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 4921792128 is about 70155.4853735615. The cubic root of 4921792128 is about 1701.0134819511.

The spelling of 4921792128 in words is "four billion, nine hundred twenty-one million, seven hundred ninety-two thousand, one hundred twenty-eight".