4894561728 has 560 divisors, whose sum is σ = 18096179200. Its totient is φ = 1276508160.

The previous prime is 4894561691. The next prime is 4894561733. The reversal of 4894561728 is 8271654984.

It is a happy number.

4894561728 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 561 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21373518 + ... + 21373746.

Almost surely, 2^4894561728 is an apocalyptic number.

4894561728 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 4894561728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048089600).

4894561728 is an abundant number, since it is smaller than the sum of its proper divisors (13201617472).

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

4894561728 is a wasteful number, since it uses less digits than its factorization.

4894561728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 4894561728 is about 69961.1444160257. The cubic root of 4894561728 is about 1697.8706590289.

The spelling of 4894561728 in words is "four billion, eight hundred ninety-four million, five hundred sixty-one thousand, seven hundred twenty-eight".