7028064 has 72 divisors (see below), whose sum is σ = 20874672. Its totient is φ = 2238720.

The previous prime is 7028059. The next prime is 7028069. The reversal of 7028064 is 4608207.

7028064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7028059) and next prime (7028069).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7028069) 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, 6094 + ... + 7154.

It is an arithmetic number, because the mean of its divisors is an integer number (289926).

Almost surely, 2^7028064 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 7028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437336).

7028064 is an abundant number, since it is smaller than the sum of its proper divisors (13846608).

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

7028064 is a wasteful number, since it uses less digits than its factorization.

7028064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7028064 is about 2651.0496034590. The cubic root of 7028064 is about 191.5484178827.

The spelling of 7028064 in words is "seven million, twenty-eight thousand, sixty-four".