4842404028 has 270 divisors, whose sum is σ = 15729833392. Its totient is φ = 1255050720.

The previous prime is 4842404009. The next prime is 4842404033. The reversal of 4842404028 is 8204042484.

4842404028 is a `hidden beast` number, since 4 + 8 + 4 + 240 + 402 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4842403983 and 4842404001.

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 10458525 + ... + 10458987.

Almost surely, 2^4842404028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842404028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864916696).

4842404028 is an abundant number, since it is smaller than the sum of its proper divisors (10887429364).

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

4842404028 is a wasteful number, since it uses less digits than its factorization.

4842404028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4842404028 is about 69587.3841152259. The cubic root of 4842404028 is about 1691.8181275935.

The spelling of 4842404028 in words is "four billion, eight hundred forty-two million, four hundred four thousand, twenty-eight".