28701042370560 has 768 divisors, whose sum is σ = 117381700800000. Its totient is φ = 6516144340992.

The previous prime is 28701042370541. The next prime is 28701042370621. The reversal of 28701042370560 is 6507324010782.

28701042370560 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 10 + 4 + 2 + 3 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288318876 + ... + 288418404.

It is an arithmetic number, because the mean of its divisors is an integer number (152840756250).

Almost surely, 2^{28701042370560} is an apocalyptic number.

28701042370560 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 28701042370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58690850400000).

28701042370560 is an abundant number, since it is smaller than the sum of its proper divisors (88680658429440).

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

28701042370560 is a wasteful number, since it uses less digits than its factorization.

28701042370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99721 (or 99695 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 28701042370560 in words is "twenty-eight trillion, seven hundred one billion, forty-two million, three hundred seventy thousand, five hundred sixty".