7028640 has 96 divisors (see below), whose sum is σ = 24615360. Its totient is φ = 1873152.

The previous prime is 7028627. The next prime is 7028657. The reversal of 7028640 is 468207.

7028640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3507 + ... + 5133.

It is an arithmetic number, because the mean of its divisors is an integer number (256410).

Almost surely, 2^7028640 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 7028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307680).

7028640 is an abundant number, since it is smaller than the sum of its proper divisors (17586720).

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

7028640 is a wasteful number, since it uses less digits than its factorization.

7028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1637 counting only the distinct ones).

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

The square root of 7028640 is about 2651.1582374502. The cubic root of 7028640 is about 191.5536506596.

The spelling of 7028640 in words is "seven million, twenty-eight thousand, six hundred forty".