28799971200 has 2304 divisors, whose sum is σ = 146955594240. Its totient is φ = 5374771200.

The previous prime is 28799971147. The next prime is 28799971223. The reversal of 28799971200 is 217999782.

28799971200 is a `hidden beast` number, since 287 + 9 + 99 + 71 + 200 = 666.

It is a super-2 number, since 2×28799971200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 778377582 + ... + 778377618.

It is an arithmetic number, because the mean of its divisors is an integer number (63782810).

Almost surely, 2^28799971200 is an apocalyptic number.

28799971200 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 28799971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73477797120).

28799971200 is an abundant number, since it is smaller than the sum of its proper divisors (118155623040).

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

28799971200 is a wasteful number, since it uses less digits than its factorization.

28799971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

It can be divided in two parts, 28799 and 971200, that added together give a palindrome (999999).

The spelling of 28799971200 in words is "twenty-eight billion, seven hundred ninety-nine million, nine hundred seventy-one thousand, two hundred".