28789824000 has 640 divisors, whose sum is σ = 113085333504. Its totient is φ = 6359040000.

The previous prime is 28789823999. The next prime is 28789824059. The reversal of 28789824000 is 42898782.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41663655 + ... + 41664345.

Almost surely, 2^28789824000 is an apocalyptic number.

28789824000 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 28789824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56542666752).

28789824000 is an abundant number, since it is smaller than the sum of its proper divisors (84295509504).

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

28789824000 is an equidigital number, since it uses as much as digits as its factorization.

28789824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 28789824000 in words is "twenty-eight billion, seven hundred eighty-nine million, eight hundred twenty-four thousand".