28058688000 has 480 divisors, whose sum is σ = 115516177920. Its totient is φ = 6412492800.

The previous prime is 28058687981. The next prime is 28058688023. The reversal of 28058688000 is 88685082.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4028521 + ... + 4035479.

It is an arithmetic number, because the mean of its divisors is an integer number (240658704).

Almost surely, 2^28058688000 is an apocalyptic number.

28058688000 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 28058688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57758088960).

28058688000 is an abundant number, since it is smaller than the sum of its proper divisors (87457489920).

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

28058688000 is an equidigital number, since it uses as much as digits as its factorization.

28058688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 28058688000 in words is "twenty-eight billion, fifty-eight million, six hundred eighty-eight thousand".