28930944000 has 704 divisors, whose sum is σ = 112813608960. Its totient is φ = 6443827200.

The previous prime is 28930943971. The next prime is 28930944017. The reversal of 28930944000 is 44903982.

It is a super-2 number, since 2×28930944000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28930944000.

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, 126335886 + ... + 126336114.

Almost surely, 2^28930944000 is an apocalyptic number.

28930944000 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 28930944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56406804480).

28930944000 is an abundant number, since it is smaller than the sum of its proper divisors (83882664960).

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

28930944000 is a wasteful number, since it uses less digits than its factorization.

28930944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 28930944000 in words is "twenty-eight billion, nine hundred thirty million, nine hundred forty-four thousand".