7028601600 has 216 divisors, whose sum is σ = 24417951040. Its totient is φ = 1775554560.

The previous prime is 7028601583. The next prime is 7028601607. The reversal of 7028601600 is 61068207.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (7028601607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355167 + ... + 374433.

Almost surely, 2^7028601600 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 7028601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208975520).

7028601600 is an abundant number, since it is smaller than the sum of its proper divisors (17389349440).

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

7028601600 is a wasteful number, since it uses less digits than its factorization.

7028601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19315 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7028601600 is about 83836.7556624181. The cubic root of 7028601600 is about 1915.5330181673.

Adding to 7028601600 its reverse (61068207), we get a palindrome (7089669807).

The spelling of 7028601600 in words is "seven billion, twenty-eight million, six hundred one thousand, six hundred".