7280928 has 90 divisors (see below), whose sum is σ = 21824649. Its totient is φ = 2381184.

The previous prime is 7280927. The next prime is 7280941. The reversal of 7280928 is 8290827.

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 2 ways, for example, as 6906384 + 374544 = 2628^2 + 612^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1908.

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 = 7280892 and 7280901.

It is not an unprimeable number, because it can be changed into a prime (7280927) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 137350 + ... + 137402.

Almost surely, 2^7280928 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 7280928

7280928 is an abundant number, since it is smaller than the sum of its proper divisors (14543721).

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

7280928 is an equidigital number, since it uses as much as digits as its factorization.

7280928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7280928 is about 2698.3194770079. The cubic root of 7280928 is about 193.8186564869.

The spelling of 7280928 in words is "seven million, two hundred eighty thousand, nine hundred twenty-eight".