28481527281600 has 1176 divisors, whose sum is σ = 110756652816960. Its totient is φ = 7194360176640.

The previous prime is 28481527281593. The next prime is 28481527281601. The reversal of 28481527281600 is 618272518482.

28481527281600 is a `hidden beast` number, since 2 + 8 + 4 + 8 + 1 + 5 + 2 + 7 + 28 + 1 + 600 = 666.

It is a super-2 number, since 2×28481527281600² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28481527281601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1792748857 + ... + 1792764743.

Almost surely, 2^{28481527281600} is an apocalyptic number.

28481527281600 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 28481527281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55378326408480).

28481527281600 is an abundant number, since it is smaller than the sum of its proper divisors (82275125535360).

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

28481527281600 is a wasteful number, since it uses less digits than its factorization.

28481527281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16009 (or 15979 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 28481527281600 in words is "twenty-eight trillion, four hundred eighty-one billion, five hundred twenty-seven million, two hundred eighty-one thousand, six hundred".