7028985600 has 1080 divisors, whose sum is σ = 32201584800. Its totient is φ = 1473085440.

The previous prime is 7028985553. The next prime is 7028985629. The reversal of 7028985600 is 65898207.

7028985600 is a `hidden beast` number, since 7 + 0 + 2 + 89 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47174326 + ... + 47174474.

Almost surely, 2^7028985600 is an apocalyptic number.

7028985600 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 7028985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100792400).

7028985600 is an abundant number, since it is smaller than the sum of its proper divisors (25172599200).

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

7028985600 is a wasteful number, since it uses less digits than its factorization.

7028985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 7028985600 is about 83839.0457960967. The cubic root of 7028985600 is about 1915.5679018861.

The spelling of 7028985600 in words is "seven billion, twenty-eight million, nine hundred eighty-five thousand, six hundred".