28757910232800 has 1296 divisors, whose sum is σ = 129529740347280. Its totient is φ = 6186540810240.

The previous prime is 28757910232781. The next prime is 28757910232873. The reversal of 28757910232800 is 823201975782.

28757910232800 is a `hidden beast` number, since 28 + 7 + 579 + 1 + 0 + 23 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 215 ways as a sum of consecutive naturals, for example, 161846406 + ... + 162023994.

It is an arithmetic number, because the mean of its divisors is an integer number (99945787305).

Almost surely, 2^{28757910232800} is an apocalyptic number.

28757910232800 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 28757910232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64764870173640).

28757910232800 is an abundant number, since it is smaller than the sum of its proper divisors (100771830114480).

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

28757910232800 is a wasteful number, since it uses less digits than its factorization.

28757910232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177655 (or 177623 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 28757910232800 in words is "twenty-eight trillion, seven hundred fifty-seven billion, nine hundred ten million, two hundred thirty-two thousand, eight hundred".