9872128 has 54 divisors (see below), whose sum is σ = 22952076. Its totient is φ = 4225536.

The previous prime is 9872123. The next prime is 9872131. The reversal of 9872128 is 8212789.

It is a super-2 number, since 2×9872128² = 194917822496768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9872123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12151 + ... + 12937.

Almost surely, 2^9872128 is an apocalyptic number.

9872128 is a gapful number since it is divisible by the number (98) 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 9872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11476038).

9872128 is an abundant number, since it is smaller than the sum of its proper divisors (13079948).

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

9872128 is an equidigital number, since it uses as much as digits as its factorization.

9872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 796 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 9872128 is about 3141.9942711596. The cubic root of 9872128 is about 214.5212205267.

It can be divided in two parts, 9872 and 128, that added together give a 4-th power (10000 = 10⁴).

The spelling of 9872128 in words is "nine million, eight hundred seventy-two thousand, one hundred twenty-eight".