28800000000 has 378 divisors, whose sum is σ = 103993599099. Its totient is φ = 7680000000.

The previous prime is 28799999959. The next prime is 28800000017. The reversal of 28800000000 is 882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 27455164416 + 1344835584 = 165696^2 + 36672^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=120000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5759999998 + ... + 5760000002.

Almost surely, 2^28800000000 is an apocalyptic number.

28800000000 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 28800000000

28800000000 is an abundant number, since it is smaller than the sum of its proper divisors (75193599099).

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

28800000000 is an frugal number, since it uses more digits than its factorization.

28800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Multiplying 28800000000 by its sum of digits (18), we get a square (518400000000 = 720000²).

28800000000 divided by its sum of digits (18) gives a 4-th power (1600000000 = 200⁴).

Multiplying 28800000000 by its product of nonzero digits (128), we get a square (3686400000000 = 1920000²).

28800000000 divided by its product of nonzero digits (128) gives a square (225000000 = 15000²).

Adding to 28800000000 its reverse (882), we get a palindrome (28800000882).

Multiplying 28800000000 by its reverse (882), we get a square (25401600000000 = 5040000²).

The spelling of 28800000000 in words is "twenty-eight billion, eight hundred million", and thus it is an aban number.