7028800 has 84 divisors (see below), whose sum is σ = 18141696. Its totient is φ = 2675200.

The previous prime is 7028797. The next prime is 7028831. The reversal of 7028800 is 88207.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36705 + ... + 36895.

Almost surely, 2^7028800 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 7028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070848).

7028800 is an abundant number, since it is smaller than the sum of its proper divisors (11112896).

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

7028800 is a wasteful number, since it uses less digits than its factorization.

7028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 7028800 is about 2651.1884127689. The cubic root of 7028800 is about 191.5551041581. Note that the first 3 decimals are identical.

The spelling of 7028800 in words is "seven million, twenty-eight thousand, eight hundred".