28768950000 has 360 divisors, whose sum is σ = 115023950496. Its totient is φ = 6575040000.

The previous prime is 28768949863. The next prime is 28768950047. The reversal of 28768950000 is 5986782.

28768950000 is a `hidden beast` number, since 2 + 87 + 68 + 9 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 3145434 + ... + 3154566.

Almost surely, 2^28768950000 is an apocalyptic number.

28768950000 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 28768950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57511975248).

28768950000 is an abundant number, since it is smaller than the sum of its proper divisors (86255000496).

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

28768950000 is an equidigital number, since it uses as much as digits as its factorization.

28768950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9150 counting only the distinct ones).

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

The spelling of 28768950000 in words is "twenty-eight billion, seven hundred sixty-eight million, nine hundred fifty thousand".