28281747456000 has 1680 divisors, whose sum is σ = 111517231294560. Its totient is φ = 7137696153600.

The previous prime is 28281747455993. The next prime is 28281747456029. The reversal of 28281747456000 is 65474718282.

28281747456000 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 1 + 7 + 4 + 74 + 560 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28366847502 + ... + 28366848498.

It is an arithmetic number, because the mean of its divisors is an integer number (66379304342).

Almost surely, 2^{28281747456000} is an apocalyptic number.

28281747456000 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 28281747456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55758615647280).

28281747456000 is an abundant number, since it is smaller than the sum of its proper divisors (83235483838560).

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

28281747456000 is an frugal number, since it uses more digits than its factorization.

28281747456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 28281747456000 in words is "twenty-eight trillion, two hundred eighty-one billion, seven hundred forty-seven million, four hundred fifty-six thousand".