28731745742400 has 1344 divisors, whose sum is σ = 110954068485120. Its totient is φ = 7314167808000.

The previous prime is 28731745742351. The next prime is 28731745742411. The reversal of 28731745742400 is 424754713782.

It is a happy number.

28731745742400 is a `hidden beast` number, since 2 + 87 + 3 + 1 + 74 + 57 + 42 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6742956270 + ... + 6742960530.

It is an arithmetic number, because the mean of its divisors is an integer number (82555110480).

Almost surely, 2^{28731745742400} is an apocalyptic number.

28731745742400 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 28731745742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55477034242560).

28731745742400 is an abundant number, since it is smaller than the sum of its proper divisors (82222322742720).

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

28731745742400 is an equidigital number, since it uses as much as digits as its factorization.

28731745742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 28731745742400 in words is "twenty-eight trillion, seven hundred thirty-one billion, seven hundred forty-five million, seven hundred forty-two thousand, four hundred".