4838920828560 has 1920 divisors, whose sum is σ = 21688071874560. Its totient is φ = 937997107200.

The previous prime is 4838920828549. The next prime is 4838920828591. The reversal of 4838920828560 is 658280298384.

4838920828560 is a `hidden beast` number, since 48 + 3 + 8 + 9 + 2 + 0 + 8 + 28 + 560 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 15559230805 + ... + 15559231115.

It is an arithmetic number, because the mean of its divisors is an integer number (11295870768).

Almost surely, 2^{4838920828560} is an apocalyptic number.

4838920828560 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 4838920828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844035937280).

4838920828560 is an abundant number, since it is smaller than the sum of its proper divisors (16849151046000).

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

4838920828560 is a wasteful number, since it uses less digits than its factorization.

4838920828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 4838920828560 in words is "four trillion, eight hundred thirty-eight billion, nine hundred twenty million, eight hundred twenty-eight thousand, five hundred sixty".