28931563104900 has 288 divisors, whose sum is σ = 85303486894080. Its totient is φ = 7569098887680.

The previous prime is 28931563104823. The next prime is 28931563104901. The reversal of 28931563104900 is 940136513982.

It is not an unprimeable number, because it can be changed into a prime (28931563104901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5350757997 + ... + 5350763403.

Almost surely, 2^{28931563104900} is an apocalyptic number.

28931563104900 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 28931563104900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42651743447040).

28931563104900 is an abundant number, since it is smaller than the sum of its proper divisors (56371923789180).

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

28931563104900 is a wasteful number, since it uses less digits than its factorization.

28931563104900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 28931563104900 in words is "twenty-eight trillion, nine hundred thirty-one billion, five hundred sixty-three million, one hundred four thousand, nine hundred".