28870114000 has 960 divisors, whose sum is σ = 97805740032. Its totient is φ = 8128512000.

The previous prime is 28870113997. The next prime is 28870114001. The reversal of 28870114000 is 41107882.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28870114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 671397979 + ... + 671398021.

Almost surely, 2^28870114000 is an apocalyptic number.

28870114000 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 28870114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48902870016).

28870114000 is an abundant number, since it is smaller than the sum of its proper divisors (68935626032).

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

28870114000 is a wasteful number, since it uses less digits than its factorization.

28870114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The spelling of 28870114000 in words is "twenty-eight billion, eight hundred seventy million, one hundred fourteen thousand".