7286928 has 80 divisors (see below), whose sum is σ = 21147456. Its totient is φ = 2142720.

The previous prime is 7286921. The next prime is 7286947. The reversal of 7286928 is 8296827.

It is a happy number.

Its product of digits (96768) is a multiple of the sum of its prime factors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 7286928.

It is not an unprimeable number, because it can be changed into a prime (7286921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19350 + ... + 19722.

Almost surely, 2^7286928 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 7286928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573728).

7286928 is an abundant number, since it is smaller than the sum of its proper divisors (13860528).

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

7286928 is a wasteful number, since it uses less digits than its factorization.

7286928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 7286928 is about 2699.4310511662. The cubic root of 7286928 is about 193.8718819660.

The spelling of 7286928 in words is "seven million, two hundred eighty-six thousand, nine hundred twenty-eight".