8773128 has 144 divisors (see below), whose sum is σ = 29689920. Its totient is φ = 2291328.

The previous prime is 8773111. The next prime is 8773133. The reversal of 8773128 is 8213778.

It is a super-3 number, since 3×8773128³ (a number of 22 digits) contains 333 as substring.

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.

Its product of digits (18816) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 8773092 and 8773101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85125 + ... + 85227.

It is an arithmetic number, because the mean of its divisors is an integer number (206180).

Almost surely, 2^8773128 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 8773128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844960).

8773128 is an abundant number, since it is smaller than the sum of its proper divisors (20916792).

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

8773128 is a wasteful number, since it uses less digits than its factorization.

8773128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 8773128 is about 2961.9466571834. The cubic root of 8773128 is about 206.2456616167.

It can be divided in two parts, 877 and 3128, that added together give a triangular number (4005 = T₈₉).

The spelling of 8773128 in words is "eight million, seven hundred seventy-three thousand, one hundred twenty-eight".