891232128 has 96 divisors (see below), whose sum is σ = 2583790560. Its totient is φ = 294856704.

The previous prime is 891232109. The next prime is 891232141. The reversal of 891232128 is 821232198.

891232128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 891232092 and 891232101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155001 + ... + 160647.

It is an arithmetic number, because the mean of its divisors is an integer number (26914485).

Almost surely, 2^891232128 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 891232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291895280).

891232128 is an abundant number, since it is smaller than the sum of its proper divisors (1692558432).

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

891232128 is a wasteful number, since it uses less digits than its factorization.

891232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5789 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 891232128 is about 29853.5111502818. The cubic root of 891232128 is about 962.3438561121.

The spelling of 891232128 in words is "eight hundred ninety-one million, two hundred thirty-two thousand, one hundred twenty-eight".