7028089600 has 324 divisors, whose sum is σ = 20579740104. Its totient is φ = 2368880640.

The previous prime is 7028089597. The next prime is 7028089603. The reversal of 7028089600 is 69808207.

It is an interprime number because it is at equal distance from previous prime (7028089597) and next prime (7028089603).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7028089603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22892647 + ... + 22892953.

Almost surely, 2^7028089600 is an apocalyptic number.

7028089600 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 7028089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289870052).

7028089600 is an abundant number, since it is smaller than the sum of its proper divisors (13551650504).

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

7028089600 is a wasteful number, since it uses less digits than its factorization.

7028089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 7028089600 is about 83833.7020535298. The cubic root of 7028089600 is about 1915.4865045659.

The spelling of 7028089600 in words is "seven billion, twenty-eight million, eighty-nine thousand, six hundred".