28424768910300 has 432 divisors, whose sum is σ = 106447811904000. Its totient is φ = 6488032037760.

The previous prime is 28424768910299. The next prime is 28424768910341. The reversal of 28424768910300 is 301986742482.

28424768910300 is a `hidden beast` number, since 2 + 8 + 4 + 247 + 6 + 8 + 91 + 0 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94974291 + ... + 95273109.

It is an arithmetic number, because the mean of its divisors is an integer number (246406972000).

Almost surely, 2^{28424768910300} is an apocalyptic number.

28424768910300 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 28424768910300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53223905952000).

28424768910300 is an abundant number, since it is smaller than the sum of its proper divisors (78023042993700).

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

28424768910300 is a wasteful number, since it uses less digits than its factorization.

28424768910300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299575 (or 299555 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 28424768910300 in words is "twenty-eight trillion, four hundred twenty-four billion, seven hundred sixty-eight million, nine hundred ten thousand, three hundred".