7028834400 has 864 divisors, whose sum is σ = 30724596000. Its totient is φ = 1544417280.

The previous prime is 7028834377. The next prime is 7028834413. The reversal of 7028834400 is 44388207.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 30693486 + ... + 30693714.

It is an arithmetic number, because the mean of its divisors is an integer number (35560875).

Almost surely, 2^7028834400 is an apocalyptic number.

7028834400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7028834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362298000).

7028834400 is an abundant number, since it is smaller than the sum of its proper divisors (23695761600).

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

7028834400 is a wasteful number, since it uses less digits than its factorization.

7028834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7028834400 is about 83838.1440634274. The cubic root of 7028834400 is about 1915.5541665734.

The spelling of 7028834400 in words is "seven billion, twenty-eight million, eight hundred thirty-four thousand, four hundred".