8540928 has 108 divisors (see below), whose sum is σ = 26944008. Its totient is φ = 2580480.

The previous prime is 8540921. The next prime is 8540933. The reversal of 8540928 is 8290458.

8540928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8540928² = 145894902202368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8540892 and 8540901.

It is not an unprimeable number, because it can be changed into a prime (8540921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25176 + ... + 25512.

Almost surely, 2^8540928 is an apocalyptic number.

8540928 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 8540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472004).

8540928 is an abundant number, since it is smaller than the sum of its proper divisors (18403080).

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

8540928 is a wasteful number, since it uses less digits than its factorization.

8540928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8540928 is about 2922.4866124586. The cubic root of 8540928 is about 204.4097875862.

The spelling of 8540928 in words is "eight million, five hundred forty thousand, nine hundred twenty-eight".