28959091200 has 720 divisors, whose sum is σ = 113796138456. Its totient is φ = 6989414400.

The previous prime is 28959091171. The next prime is 28959091207. The reversal of 28959091200 is 219095982.

It can be written as a sum of positive squares in 12 ways, for example, as 7144982784 + 21814108416 = 84528^2 + 147696^2 .

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 (45).

It is not an unprimeable number, because it can be changed into a prime (28959091207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91353442 + ... + 91353758.

Almost surely, 2^28959091200 is an apocalyptic number.

28959091200 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 28959091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56898069228).

28959091200 is an abundant number, since it is smaller than the sum of its proper divisors (84837047256).

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

28959091200 is a wasteful number, since it uses less digits than its factorization.

28959091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 28959091200 in words is "twenty-eight billion, nine hundred fifty-nine million, ninety-one thousand, two hundred".