28966028000 has 768 divisors, whose sum is σ = 96371638272. Its totient is φ = 8294400000.

The previous prime is 28966027997. The next prime is 28966028083. The reversal of 28966028000 is 82066982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191827925 + ... + 191828075.

It is an arithmetic number, because the mean of its divisors is an integer number (125483904).

Almost surely, 2^28966028000 is an apocalyptic number.

28966028000 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 28966028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48185819136).

28966028000 is an abundant number, since it is smaller than the sum of its proper divisors (67405610272).

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

28966028000 is a wasteful number, since it uses less digits than its factorization.

28966028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 28966028000 in words is "twenty-eight billion, nine hundred sixty-six million, twenty-eight thousand".