9985105928 has 84 divisors (see below), whose sum is σ = 22056513615. Its totient is φ = 4237784208.

The previous prime is 9985105919. The next prime is 9985105939. The reversal of 9985105928 is 8295015899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4992552964 + 4992552964 = 70658^2 + 70658^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70658.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 96942725 + ... + 96942827.

Almost surely, 2^9985105928 is an apocalyptic number.

9985105928 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 9985105928

9985105928 is an abundant number, since it is smaller than the sum of its proper divisors (12071407687).

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

9985105928 is an frugal number, since it uses more digits than its factorization.

9985105928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 56.

The square root of 9985105928 is about 99925.5018901581. The cubic root of 9985105928 is about 2153.3645483839.

The spelling of 9985105928 in words is "nine billion, nine hundred eighty-five million, one hundred five thousand, nine hundred twenty-eight".