844120928 has 96 divisors (see below), whose sum is σ = 1947375360. Its totient is φ = 352719360.

The previous prime is 844120897. The next prime is 844120957. The reversal of 844120928 is 829021448.

It is a super-4 number, since 4×844120928⁴ (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 844120891 and 844120900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227043 + ... + 2227421.

It is an arithmetic number, because the mean of its divisors is an integer number (20285160).

Almost surely, 2^844120928 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 844120928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973687680).

844120928 is an abundant number, since it is smaller than the sum of its proper divisors (1103254432).

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

844120928 is a wasteful number, since it uses less digits than its factorization.

844120928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 844120928 is about 29053.7592748340. The cubic root of 844120928 is about 945.0792382443.

The spelling of 844120928 in words is "eight hundred forty-four million, one hundred twenty thousand, nine hundred twenty-eight".