28305088000 has 640 divisors, whose sum is σ = 87510398976. Its totient is φ = 8921088000.

The previous prime is 28305087989. The next prime is 28305088003. The reversal of 28305088000 is 88050382.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28305088003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422463967 + ... + 422464033.

Almost surely, 2^28305088000 is an apocalyptic number.

28305088000 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 28305088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43755199488).

28305088000 is an abundant number, since it is smaller than the sum of its proper divisors (59205310976).

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

28305088000 is an equidigital number, since it uses as much as digits as its factorization.

28305088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 28305088000 in words is "twenty-eight billion, three hundred five million, eighty-eight thousand".