28430211600 has 720 divisors, whose sum is σ = 121578647040. Its totient is φ = 6285081600.

The previous prime is 28430211581. The next prime is 28430211637. The reversal of 28430211600 is 611203482.

28430211600 is a `hidden beast` number, since 2 + 8 + 4 + 30 + 21 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16404334 + ... + 16406066.

It is an arithmetic number, because the mean of its divisors is an integer number (168859232).

Almost surely, 2^28430211600 is an apocalyptic number.

28430211600 is a gapful number since it is divisible by the number (20) 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 28430211600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60789323520).

28430211600 is an abundant number, since it is smaller than the sum of its proper divisors (93148435440).

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

28430211600 is a wasteful number, since it uses less digits than its factorization.

28430211600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 28430211600 in words is "twenty-eight billion, four hundred thirty million, two hundred eleven thousand, six hundred".