4891128 has 64 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1459200.

The previous prime is 4891099. The next prime is 4891129. The reversal of 4891128 is 8211984.

It is a super-3 number, since 3×4891128³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4891129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25513 + ... + 25703.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^4891128 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 4891128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

4891128 is an abundant number, since it is smaller than the sum of its proper divisors (8656392).

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

4891128 is a wasteful number, since it uses less digits than its factorization.

4891128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 4891128 is about 2211.5894736592. The cubic root of 4891128 is about 169.7473525080.

The spelling of 4891128 in words is "four million, eight hundred ninety-one thousand, one hundred twenty-eight".