8100928 has 56 divisors (see below), whose sum is σ = 18068544. Its totient is φ = 3571200.

The previous prime is 8100919. The next prime is 8100931. The reversal of 8100928 is 8290018.

It is a super-2 number, since 2×8100928² = 131250068922368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8100896 and 8100905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25893 + ... + 26203.

Almost surely, 2^8100928 is an apocalyptic number.

8100928 is a gapful number since it is divisible by the number (88) 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 8100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034272).

8100928 is an abundant number, since it is smaller than the sum of its proper divisors (9967616).

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

8100928 is a wasteful number, since it uses less digits than its factorization.

8100928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 8100928 is about 2846.2129224638. The cubic root of 8100928 is about 200.8375542846.

The spelling of 8100928 in words is "eight million, one hundred thousand, nine hundred twenty-eight".