28497275781120 has 728 divisors, whose sum is σ = 102983382111636. Its totient is φ = 7566658633728.

The previous prime is 28497275781119. The next prime is 28497275781131. The reversal of 28497275781120 is 2118757279482.

28497275781120 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 7 + 27 + 578 + 11 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27017374334976 + 1479901446144 = 5197824^2 + 1216512^2 .

It is a super-2 number, since 2×28497275781120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 122305904524 + ... + 122305904756.

Almost surely, 2^{28497275781120} is an apocalyptic number.

28497275781120 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 28497275781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51491691055818).

28497275781120 is an abundant number, since it is smaller than the sum of its proper divisors (74486106330516).

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

28497275781120 is an frugal number, since it uses more digits than its factorization.

28497275781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 28497275781120 in words is "twenty-eight trillion, four hundred ninety-seven billion, two hundred seventy-five million, seven hundred eighty-one thousand, one hundred twenty".